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1 year, 6 months ago via algebra-questions.com

How do I find the slope of a line passing through two points?

What algebraic equation do I use to find the slope of a line passing through two points? How do you solve an equation that involves finding the slope of a line passing through two points?
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kerryk | 1 year, 6 months ago
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When given two points (X1,Y1) and (X2,Y2) you use the following formula to calculate the slope. (Y2-Y1)/(X2-X1). After you find the slope, which is labeled "m", you use the formula Y-Y1=m(X-X1). You know the value for m, and for X1 and Y1 so just substitute those values into the formula. Make sure to have your answer in Y=mX+b form.

For example:

A line passes through the points (2,4) and (3,-3). What is the slope of the line? What is the equation of the line?

slope = (-3-4)/(3-2)
slope = -7/1
slope = -7

Now use the formula Y-Y1=m(X-X1)

Y-4= -7(X-2)
Y-4= -7X+14
Y-4+4 = -7X+14+4
Y= -7X+18

If the question asks for the equation of the line in standard form it would be 7X+Y -18 = 0
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jen2684 | 1 year, 6 months ago
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To find the slope of a line through 2 points, (x0,y0) and (x1,y1), use the following formula: (y1-y0)/(x1-x0)

Example: Find the slope of the line passing through the points; (1, 3) and ( 4, 6)
So then do (6-3)/(4-1) to get 3/3 and then simplify to 1.

If given an equation---I would have to know exactly what you're talking about.....if you could do it in a response to this answer I will be better able to help you, as I am a math tutor.

Here are a couple videos to try and help you as well, if they are the type you are looking for.
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