Question

Determine the equation of this line: The line through ( -2, 0) with slope -3/4.

Answer 1

The point is (-2, 0) and slope is - 3/4.

Substitute (x₁, y₁) = (-2, 0) and m = - 3/4 in the point-slope form of line equation y - y₁ = m(x - x₁), where m = slope and (x₁, y₁) = point.

y - (0) = (-3/4)[x - (-2)]

y = (-3/4)(x + 2)

Apply distributive property : a(b + c) = ab + ac.

y = (-3/4)(x) + (-3/4)(2)

y = (-3/4)(x) - 3/2

The line equation is y = - (3/4)x - 3/2.