Question

Write an equation for the following graph below in slope-intercept form. SHOW YOUR WORK PLEASE

Answer 1

`y = -3x - 3`

Explanation:

From the graph, we have the following coordinate points:

`(x_1,y_1) = (0,-3)`

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

To determine the equation, we start by calculating the slope:

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

This gives:

`m = (-3 - 0)/(0 - (-1))`

`m = (-3)/(0+1)`

`m = (-3)/(1)`

`m = -3`

The equation is then calculated using:

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

Where

`(x_1,y_1) = (0,-3)`

`m = -3`

This gives:

`y - (-3) = -3(x - 0)`

`y - (-3) = -3(x)`

`y +3 = -3(x)`

`y +3 = -3x`

Make y the subject

`y = -3x - 3`