Question

How do you find the slope given (-7,3) and (3,8)?

Answer 1

The slope equation is (Change in Y)/(Change in X)

Explanation:

First, we find the change in y. This is calculated by taking the second y coordinate (y sub 2) and adding the negative of the first y coordinate (y sub 1). In this case y2-y1 would equal 8-3, or 5. The same process is then done with the x's in this case x2-x1 would be 3-(-7) or 3+7, which is 10. Finally, we put the change in y (5) over the change in x (10) and arrive at 5/10, which is simplified to 1/2. Therefore the slope is found at 1/2. (up one, over two, up one, over two, etc etc).

Answer 2

Slope `= 1/2`.

Explanation:

We will use m (gradient) = `(deltay)/(deltax)` where `delta` is "difference in". So, we subtract:
`( -7, 3)`,
`( 3, 8)`. We get:
`deltay = -5`,
`deltax = -10`. So, we divide:
`(deltay) / (deltax) = (-5)/(-10) = 5/10 = 1/2`. So, the slope is `1/2`.

Hope it Helps! :D .