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	Slope - Wikipedia, the free encyclopedia
		The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
		The concept of a slope is central to differential calculus.
		The derivative of the function at a point is the slope of the line tangent to the curve at the point, and is thus equal to the rate of change of the function at that point.
	en.wikipedia.org /wiki/Slope (1006 words)

	Slope - Open Encyclopedia (Site not responding. Last check: 2007-10-21)
		In mathematics, the slope (or gradient, especially where three or more dimensions are discussed) of a straight line (within a Cartesian coordinate system) is a measure for the "steepness" of said line.
		The derivative of the function at a point is the slope of the line tangent to the curve at said point, and is thus equal to the rate of change of the function at that point.
		The slope given by m = Δy / Δx (where Δy and Δx are the distances along both axes between two points on a curve) is the slope of a secant line to the curve.
	open-encyclopedia.com /Slope (846 words)

	Slope -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		Two lines are parallel if and only if their slopes are equal or if they both are vertical and therefore undefined; they are (A Gothic style in 14th and 15th century England; characterized by vertical lines and a four-centered (Tudor) arch and fan vaulting) perpendicular (i.e.
		The concept of a slope is central to (The part of calculus that deals with the variation of a function with respect to changes in the independent variable (or variables) by means of the concepts of derivative and differential) differential calculus.
		For example, the slope of the secant intersecting y = x² at (0,0) and (3,9) is m = (9 - 0) / (3 - 0) = 3 (which happens to be the slope of the tangent at, and only at, x = 1.5).
	www.absoluteastronomy.com /encyclopedia/s/sl/slope.htm (1001 words)

	Slope (Site not responding. Last check: 2007-10-21)
		In mathematics, the slope (or gradient,especially where three or more dimensions are discussed) of a straight line (within a Cartesian coordinate system) is a measure for the "steepness" of said line.
		This slope is oftenreferred to as a derivative.
		To find the slope at a given point on a curve, onemust find a line which is tangent to saidfunction, at said point.
	www.therfcc.org /slope-3894.html (811 words)

	Slope : Point-slope (Site not responding. Last check: 2007-10-21)
		In topography, the slope of a hill, mountain, road or anything else inclined, can be expressed as a percentage or an angle.
		The concept of a slope is central to differential calculus; which deals with curved functions.
		To find the slope of a curved function, at a given point, one must find a line which is tangent to said function, at said point.
	www.explainthis.info /po/point-slope.html (963 words)

	HTML document for the World Wide Web
		Slope shape is described by using pairs of distance to points from the top of the OFE and the slope at these points.
		There are two ways of entering distance to the point data (Line 5a): either enter the actual distance in meters or enter the nondimensional distance, which is the actual distance in meters divided by the total slope length of the OFE (however, don't mix the two methods).
		A minimum of two slope points are required to describe the slope on each OFE - a point at the beginning of the OFE (distance = 0.0) and a point at the end of the OFE (distance = slplen of OFE or distance = 1.0 = slplen/slplen).
	topsoil.nserl.purdue.edu /nserlweb/weppdoc/HillSlopeData.html (528 words)

	Slope (Site not responding. Last check: 2007-10-21)
		The grade of a road is a measure of its steepness or slope.
		The pitch of a roof is a measure of the slope of the roof.
		The slope of a line is the ratio of the change in the vertical direction, the rise, divided by the change in the horizontal direction, the run, necessary to get from one point on the line to another point on the line.
	www.mathresources.com /products/tools/interactive/slope.htm (183 words)

	“Differentiation calculus consists merely in algebraically determining the limit of a ratioThis provides us with the ...
		This suggests that for nonlinear curve the slope is not constant, but actually varies from point to point.
		In this lecture we introduce a procedure for determining the slope of a curve at a point.
		Since the tangent line is the limiting position of the secant lines, its slope is the limiting value of the slopes of the secant lines as Q approach P.
	www.angelfire.com /id/differentiation/lesson1.html (589 words)

	Linear and Non Linear Relationships: Unit Three (Site not responding. Last check: 2007-10-21)
		The slope of a curve at a point is equal to the slope of the straight line that is tangent to the curve at that point.
		What is the slope of the curve at point A? The slope of the curve at point A is equal to the slope of the straight line BC.
		By finding the slope of the straight line BC, we have found the slope of the curve at point A. The slope at point A is 1/2, or.5.
	cstl.syr.edu /fipse/GraphB/Unit8/Unit8a.html (492 words)

	Practice with Equations of Lines
		The slope of y = 7 is zero.
		The slope of x + y = 0 is negative one.
		The slope of the given line is -2.
	regentsprep.org /Regents/math/glines/PracLine.htm (234 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-21)
		A final point for why the relation between the two forms is useful is that it helps you to remember them (you can get one from the other if you know the relation).
		The point slope form is obviously very easy to get when you have a point and the slope of the line (which is the whole reason for this form).
		You can remember that the slope is the rise (change in y) divided by the run (change in x) or you could calculate this form from the point-slope form of a line.
	mathforum.org /library/drmath/view/52848.html (852 words)

	Slope Point, Southland, New Zealand
		Slope Point is the most Southerly point of New Zealand's
		Slope Point is on the Catlins Coastal Heritage Trail.
		On the trail you pass through: Otara, Waipapa Point, Haldane, Slope Point, Waipohatu, Curio Bay, Porpose Bay and Waikawa.
	slopepoint.tripod.com (129 words)

	Math Help - Calculus - Derivatives - Technical Tutoring
		In other words, while the slope of a straight line is a constant number, the slope of a curved line is a function of x.
		Notice that we have an open circle at the point (0, 0) to indicate that the point has been excluded from the graph and a closed circle at (0, 1) to show that this point as been included.
		Since this point is arbitrary and the function value (and limit) is defined, the function passes both tests everywhere and so is continuous everywhere.
	www.hyper-ad.com /tutoring/math/calculus/Derivatives.html (1904 words)

	[No title]
		Starting with the information of one point and the slope, have students collaborate and then demonstrate how all three forms can be developed.
		Central to this unit is the study of rates of change from an intuitive point, noting the rate of change in graphs and tables is constant for linear relationships (one-differences are constant in tables) and for each change of 1 in x (the input) there is a constant amount of growth in y (the output).
		Students should interpret the slope of the line and the graph itself in terms of the similarity of the two figures.
	www.doe.state.la.us /lde/uploads/4994.doc (15237 words)

	Algebra (Math 1314) - Graphing and Functions - Lines
		When using this definition do not worry about which point should be the first point and which point should be the second point. You can choose either to be the first and/or second and we’ll get exactly the same value for the slope.
		Next, we can see that if the slope is a positive number then the line will be increasing as we move from left to right. Likewise, if the slope is a negative number then the line will decrease as we move from left to right.
		Okay, we claimed that it wouldn’t matter which point we used in the formula, but these sure look like different equations. It turns out however, that these really are the same equation. To see this all that we need to do is distribute the slope through the parenthesis and then simplify.
	tutorial.math.lamar.edu /AllBrowsers/1314/Lines.asp (1660 words)

	Tripod Data Systems: TDS Survey Pro on the Ranger: New Features: Slope Staking from a Point
		You select a point, define a direction to use for the slope, and define the desired slope to stake.
		The main difference from earlier versions of Survey Pro is that the direction defined is the direction for the slope, not the direction for a CL alignment that the slope runs perpendicular to.
		The first step is to enter the hinge point, the slope direction and height of the rod and cut\fill slopes (see image at right).
	www.tdsway.com /products/survey_pro/on_the_ranger/new_features/slope_stake_point (279 words)

	Chapter 3.3 Lesson, Math 101 - Fall 1997
		Slope refers to the slant of a line.
		Lines with the product of their slopes equal to -1 are perpendicular.
		Read the slope m and y-intecept (0, b) from the equation.
	www.math.wsu.edu /~kentler/Fall97_101/nojs/Chapter3/section3.html (273 words)

	Straight Lines (Site not responding. Last check: 2007-10-21)
		This means that in addition to describing the slope of a line we need some way to specify exactly where the line is on the graph.
		This point is called the y-intercept, and is usually denoted by the letter b.
		As mentioned earlier, a line is fully described by giving its slope and one distinct point that the line passes through.
	www.jamesbrennan.org /algebra/lines/straight_lines.htm (1248 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		The definition of the slope of a graph at a point is the slope of the tangent line at that point.
		The thing to remember is that the slope of the function (that is, the ratio of the change in result to the change in measurement, in the immediate area of the reference point) is equal to the error sensitivity.
		Of the points labeled, the slope is steepest at B.] [c] Point D. [Of the points marked, the slope at D is lowest (the graph is rising most slowly).] [d] slope (10 [First draw the tangent line through B (dotted line), extending it so that it intersects the top and bottom grid lines.
	www.austin.cc.tx.us /mparker/1333/fall04/IV_sec5.doc (1725 words)

	The Slope of a Function (Site not responding. Last check: 2007-10-21)
		Determining the slope of some function f at some point x is to differentiate the function.
		Determining the line from the slope and one of the points or even from two points is an exercise.
		It is a standard mathematical exercise to develop the equation for a line from a point on the line and its slope.
	www.htdp.org /2001-01-18/Book/node128.htm (721 words)

	Router
		If the user is supplying known 3D points, they should make sure the UCS is at the world position (type UCS and hit enter).
		In other words, use the Slope option, then pick the next point of the 3dpoly for a change to the new position.
		This prompt requests the use of the previous last point Z elevation (point prior to the reference point).
	www.coade.com /cadworx/plant/ID_ROUTER.htm (689 words)

	[No title]
		The y-intercept is where the point is on the y-axis.
		If (x,y) is any other point on L, then by the definition of slope, m= y-y1 x-x1 Multiplying both sides by x-x1 gives M(x-x1)=y-y1.
		You plot your y-intercept point, and then you plot another point with the given slope, and with two points, you have enough to graph a line.
	www.msu.edu /~buckgeor/arp_data/StAIRs/nov_stairs/nov_nadia.ppt (334 words)

	The Point-Slope Formula (Site not responding. Last check: 2007-10-21)
		When you know the slope of a line, and you know the coordinates of one point on the line, then there is a formula to find the equation of the line.
		where m is the slope of the line, and the coordinates of the known point are (x1,y1).
		In the first problem, we are given a slope of 5 and the coordinates (1,2) for a point on the line.
	www.algebrahelp.com /messageboards/messages/2544.html (230 words)

	Quiz 1 Solution (Site not responding. Last check: 2007-10-21)
		Here one other small remainder will be that m(a) is the slope of the tangent line to f at the point (a, f(a)).(The point (a,f(a)) is on the graph of y=f(x)).
		A tangent line to y=f(x) at the point x=a has the property that is passes through the point (a,f(a)) on the graph, and has slope=m(a).
		As we saw in Sec 2.1, at tha maximum point the tangent line is horizontal, which means the slope is zero.
	www.math.umn.edu /~alayont/1271/sol1.html (471 words)

	Lesson 7: Lecture 4 (Site not responding. Last check: 2007-10-21)
		or say that the slope of a perpendicular line is the negative reciprocal of the slope of the original line.
		If the slope of the original line is 2/3, the slope of the perpendicular line is -3/2.
		It's useful when you are given a slope and the specific point is not the y-intercept.
	www.dis.dpi.state.nd.us /west/classes/math/ndsu/math/lesson7_lecture4.html (767 words)

	ez12-1 & 12-2 Graping & Equations of Lines (Glencoe Geometry) (Site not responding. Last check: 2007-10-21)
		Slope Intercept Form - y = mx + b where m is slope and b is the y intercept.
		where m is slope and the x and y values are points.
		Equations of lines written in slope intercept form (y = mx + b) are easy to graph.
	www.e-zgeometry.com /class/class12/12.1.2/12.1.2.htm (420 words)

	Equations of Straight Lines
		Lines that are horizontal have a slope of zero.
		The rise/run formula for slope always has a zero denominator and is undefined.
		A third point should be used to "check" that an error was not made while computing the first two points.
	regentsprep.org /Regents/math/glines/EqLines.htm (290 words)

	3.3 The Equation of a Line (Site not responding. Last check: 2007-10-21)
		Notice that the slope of the line is the coefficient on the x term.
		We know the slope and the y-intercept so we can go directly to the equation by using the slope-intercept form.
		This time we aren’t given the slope, but we have enough information to find it by using the slope formula.
	www.suu.edu /faculty/peterson_s/math1010/line.htm (342 words)

	day 7: point-slope form
		As stated in the definition, the point slope form of a line is given by the equation:
		This equation is probably the most useful of the three because it uses the information that it is most common to have about a line, the slope and a point on the line.
		When we are given two points and asked to find the equation of the line, we must find the slope first.
	jwilson.coe.uga.edu /emt668/EMAT6680.2002/Jackson/Chapter%205%20Lesson%20Plan/day7.html (921 words)

	[No title]
		M is the rate of change or the slope.
		Slope can be found in the equation (y2-y1)/(x2-x1) X is the variable.
		You use this formula when you have both a point and an intercept given to you in a problem.
	www.msu.edu /~buckgeor/arp_data/StAIRs/nov_stairs/nov_matt.ppt (502 words)

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