Question

Write the equation of the line that has a slope of "-3/4" and passes through the point (-8,11).

Answer 1

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]