Question

A line passes through the point (-8, 3) and has a slope of 3/4. Write an equation in slope-intercept form for this line.

Answer 1

General formula to make slope-intercept form
y - y₁ = m(x - x₁)

From the question, we know that
m = 3/4
(x₁,y₁) = (-8,3)

Put the number to the formula
y - y₁ = m(x - x₁)
y - 3 = 3/4(x - (-8))
y - 3 = 3/4(x + 8)
y - 3 = (3/4)x + 6
y = (3/4)x + 9