Question

Write the equation of the line in fully simplified slope-intercept form.​

Answer 1

`y = -(1)/(5)x -1`

Explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

`(x_1,y_1) = (-5,0)`

`(x_2,y_2) = (0,-1)`

Next, calculate the slope (m)

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

`m = (-1-0)/(0 -(-5))`

`m = (-1)/(0 +5)`

`m = -(1)/(5)`

The equation in slope intercept form is:

`y = m(x - x_1) + y_1`

This gives:

`y = -(1)/(5)(x - (-5)) + 0`

`y = -(1)/(5)(x +5)`

Open bracket

`y = -(1)/(5)x -1`