Question

Writing Equations of Parallel Lines

y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done

Answer 1

y = 4x -16

Explanation:

The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).

m = (y2 -y1)/(x2 -x1)

m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines

The point-slope equation for the line with slope 4 through point (4, 0) will be ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept

y = 4x -16 . . . . . . expanded to slope-intercept form