Question

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15? Enter your answer in the box

Answer 1

Explanation:

Use the point-slope formula by the line

y - y_1 = m(x - x_1) when x_1 =8 and y_1 = -2 m : is the slope (same slope for the line whose equation is 3x + 4y = 15 because are parallel)

calculate : m

3x + 4y = 15

4y = -3x +15

y = (-3/4)x +15/4 so m = -3/4

an equation is : y +2 =(-3/4)(x-8)