Question

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

Answer 1

ANSWER
$y = \frac{1}{4}x - 3$

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,

$- 5 = - 8m - 3$

$- 5 + 3 = - 8m$

$- 2 = - 8m$

$m = \frac{ - 2}{ - 8} = \frac{1}{4}$

Hence the equation in slope intercept form is,

$y = \frac{1}{4}x - 3$