Question

PLEASE HELP!!!

Which of the following is the correct point-slope equation for the line that
passes through the point (-4,-2) and is parallel to the line given by
y = 5x + 44?
O A. y + 2 = 5(x + 4)
O B. y - 4 = 5(x - 2)
O C. y + 4 = 5(x + 2)
D. y - 2 = 5(x - 4)

Answer 1

Answer: A: y + 2 = 5(x + 4)

Explanation:

A parallel line has the same slope as the reference line, y = 5x+44. This has a slope of 5, so the new line will have the same slope.

The point-slope form equation is: y - y1 = m * (x - x1) , where: x1 , y1 are the coordinates of a point.

The point we are given is (-4,-2). The slope, m, is 5:

y - (-2) = m* (x - (-4)) for (-4,-2)

y + 2 = 5 * (x + 4)

This looks a lot line answer option A: y + 2 = 5(x + 4)