Answer:
[tex]y = \frac{1}{3}x - 5[/tex]
Step-by-step explanation:
Given
[tex]slope\ (m) = \frac{1}{3}[/tex]
[tex]y\ intercept = -5[/tex]
Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope = \frac{1}{3}[/tex]
[tex]b = y\ intercept = -5[/tex]
So, [tex]y = mx + b[/tex] becomes
[tex]y = \frac{1}{3}x - 5[/tex]
