Question

Here’s a graph of a linear function write the equation that describes that function

Answer 1

ANSWER

`y = (1)/(4)x - 3`

Step-by-step explanation

The graph passes through (-8,-5) and the y-intercept is -3.

The equation of this line is of the form,


`y = mx + c`

where

`c = - 3`

is the y-intercept.

This implies that,


`y = mx - 3`

We substitute (-8,-5) to determine m.

This implies that,


`- 5 = - 8m - 3`


`- 5 + 3 = - 8m`


`- 2 = - 8m`


`m = ( - 2)/( - 8) = (1)/(4)`

Hence the equation in slope intercept form is,


`y = (1)/(4)x - 3`