Find the slope of the line passing through the points (-2, 4) and (5, 9)

Answer 1

Hello!

So the formula for the slope of a line passing through two points is:

(y2 - y1) / (x2 - x1), where the y's are our points' y-coordinates and the x's are our x-coordinates. If you've heard of this as "rise over run," that makes sense because our y's are the vertical axis and so those rise (and fall) on a line, whereas the x's on the horizontal axis run in either direction.

Back to our problem!

Using (-2,4) as point 1 and (5,9) as point 2, we have:

(y2 - y1) / (x2 - x1) = (9 - 4) / [5 - (-2)]

= 5 / 7

and that is our slope! hope this helped :)