Question

Which equation represents a line which is parallel to the line x-3y=15?

Answer 1

Step-by-step explanation:

Two lines that are parallel have the same slope. If we make $x - 3y = 15$ in to slope-intercept form it'll be like this:

$x - 3y = 15 \\ -3y = 15 - x \\ y = \frac{15 - x}{-3} \\ y = \frac{1}{3}x - 5$

Now we know $y = \frac{1}{3}x - 5$ as its slope-intercept form we can see the slope is $\frac{1} {3}$.

$y = \frac{1}{3}x + 4$ has the same slope as $y = \frac{1}{3}x - 5$ so they are both parallel.

Answer:

$y = \frac{1}{3}x + 4$