Question

Question #3a487

Answer 1

The slope is `m = 3/4`
The equation is: `y = 3/4x + 6/4`

Explanation:

The slope, m is:

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

Using the points `(-3, - 0.75)` and `(-2, 0)`:

`m = (-0.75 - 0)/(-3 - -2)`

`m = (-0.75)/(-1)`

`m = 3/4`

Using, `y = mx + b` and the point (-2, 0):

`0 = 3/4(-2) + b`

`b = 6/4`

The equation is: `y = 3/4x + 6/4`