college algebra

Question

Write an equation of the line that passes through the given point and is parallel to the given line. Your answer should be written in slope-intercept form.

P(0, 0), x = −9y − 12

Answer 1

Parallel lines are lines that have the same slope. Therefore, if you put the given equation into slope-intercept form, you can identify the slope.

x = -9y - 12

1) add 12 to both sides of the equation:

x + 12 = -9y

2) divide both sides by -9 and simplify

y = -1/9x - 4/3

Your slope is -1/9 and your y-intercept is -4/3. If the new line must past through (0,0), which is the origin, it will not have a y-intercept in the equation.

Your final answer would then be y = -1/9x, as it contains the same slope and has no y-intercept, so it passes through (0, 0).

Answer 2

x = -9y - 12

9y = -x - 12

y = (-1/9)x - 12/9

to pass through (0, 0) - y-intercept is 0"

y = (-1/9)x