Answer:
y - 11 = ³/₄ (x + 8) [point-slope form]
y = ³/₄ x + 17 [slope-intercept form]
Explanation:
We can use the point-slope form, (y - y₁) = m(x - x₁), to write this equation since we have the slope and a point with (x₁ , y₁) = (-8, 11):
⇒ y - 11 = ³/₄ (x - (-8)
y - 11 = ³/₄ (x + 8) [point-slope form]
y - 11 = ³/₄ x + ³/₄ (8)
y = ³/₄ x + 17 [slope-intercept form]