ANSWER
[tex]y = \frac{1}{4}x - 3[/tex]
EXPLANATION
The graph passes through (-8,-5) and the y-intercept is -3.
The equation of this line is of the form,
[tex]y = mx + c[/tex]
where
[tex]c = - 3[/tex]
is the y-intercept.
This implies that,
[tex]y = mx - 3[/tex]
We substitute (-8,-5) to determine m.
This implies that,
[tex] - 5 = - 8m - 3[/tex]
[tex] - 5 + 3 = - 8m[/tex]
[tex] - 2 = - 8m[/tex]
[tex]m = \frac{ - 2}{ - 8} = \frac{1}{4} [/tex]
Hence the equation in slope intercept form is,
[tex]y = \frac{1}{4}x - 3[/tex]
