Geometry

Give the slope of a line passing through the points 2 3 and 5 -1?

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2010-03-07 03:25:42
2010-03-07 03:25:42
the formula for slope is:
y1-y2
_____
x1-x2

so...
3-(-1)
_____
2-5

which gives you -4/3
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there are infinite possibilities

If you mean points of: (-3, 27) and (-2, 79) then it works out as 52 Any other arrangements of the points will give a different slope.

slope is rise over run, or change in y over change in x

Your x and y intercepts give you two points on the line of the graph. Use these two points in the slope equation m = (y2-y1)/(x2-x1), and that gives you the slope.

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The table should give you a set of points. Take two coordinated pairs off the table and use the formula y2 - y1 divided by x2 - x1 (rise over run) to get your slope. Then take the slope and one of your points and plug it into y = mx +b with m being the slope, and b as the y-intercept.

You can follow the following steps. * First, you determine the slope between the two points. Just calculate delta-y / delta-x (that is, difference in y-coordinates, divided by the difference in x-coordinates, between the two points). * Next, you use the point-slope formula, to get an equation for the line. You can use any of the two points for this; each of the points will give you an equation that looks different, but the two equations are equivalent, if you do everything correctly. * Finally, solve the resulting equation for "y"; that will give you the equation in slope-intercept form.

type in =SLOPE(known_y's,known_x's) Ex: =SLOPE(D1:D5,A1:A5) And that will give you your slope You need at least two points on the line, if not more. So in one cell, say D1, you could have a y co-ordinate and in A1 an x cordinate, giving you one point. Then in the other cell pairs, like D2 and A2 you could have the co-ordinates for other points. The above example is getting 5 points. So if you fill in your co-ordinates for the points into the appropriate cells, you can use the formula typed into an empty cell to get the slope: =SLOPE(D1:D5,A1:A5)

Examples of slope: http://www.answers.com/topic/slope http://en.wikipedia.org/wiki/Slope

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Well you need to have two points to find the equation of a line and you've only given one point with the coordinates (-5, -10). I would recheck the question to see if it gave a y-intercept, which would give us another point, and make this solvable. Since you've given only one point, I am going to assume that the line passes through the origin at point (0, 0) If this is the case then do rise over run to find slope -10/-5 = 2 The classic way to write out the equation of a line is y = mx+b y = mx + b y = 2x + 0 (slope is 2, and if the line does pass through the origin then b is 0) y = 2x

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The slope of a line and the perpendicular to that line, when multiplied together, give -1. So, if the first line has a slope of 1/21, the second has a slope of -21.


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