Question

Which equation is parallel to the line y= -5/7x - 7

Answer 1

5x + 7y = -42

Explanation:

This question will be a little easier to answer if we change the form of the original equation from slope intercept to standard form:

`y=(-5/7)x-7\\(5/7)x+y=-7\\5x+7y=-49`

All parallel lines have the same slope, but what does that mean when our equation's in standard form. Well, slope only depends on the coefficients of the x and y terms, so any equation of a line in standard form with 5x + 7y on the left side will be parallel to the one in the problem. Looking through the possible choices, B. 5x + 7y = -42 is the only one that works.

Using desmos to check our work, we can see that the two lines are actually parallel!