Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
