Question

Find the slope of the line passing through (-4,6) and (10,8)

Answer 1

1/7

Explanation:

In order to determine the slope, we must find the change in y over the change in x:

`(y_(2)-y_(1) )/(x_(2)-x_(1) ) = (8-6)/(10--4)` = 2/14= 1/7.

Therefore, the slope between these two points is 1/7.

Answer 2

1/7

Explanation:

To find the slope when given two points, use the slope formula. The slope formula is:

`m=(y_2-y_1)/(x_2-x_1)`

Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:

`m=((8)-(6))/((10)-(-4)) =2/14=1/7`

Therefore, the slope of the line passing through the two points is 1/7.