Question

Please help!

Write an equation for the line that is parallel to the given line and passes through the given point. y = 3/4x - 9; (-8, -18) Please explain your answer.

A: y = 3/4x + 11/2
B: y = -4/3x + 12
C: y = 3/4x - 12
D: y = 4/3x - 12

Answer 1

The correct answer is C. y = 3/4x - 12

Explanation:

In order to find this, we must first note that the slope will be 3/4. We can tell this because parallel lines have the same slope. Next, we use that along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -18 = 3/4(x - -8)

y + 18 = 3/4 (x + 8)

y + 18 = 3/4x + 6

y = 3/4x - 12