Question

Which equation represents a line which is parallel to the line by – 7x = 24?:A) y=7/6x+3B) y=6/7x-2C) y=-7/6x-1D)y=-6/7x+7

Answer 1

We have the equation 6y-7x=24, and want to know what of the options represents a line parallel to that one.

First we need to write our equation in the form of the options:

$\begin{gathered} 6y-7x=24 \\ 6y=7x+24 \\ y=\frac{7x+24}{6}=\frac{7x}{6}+\frac{24}{6} \\ y=\frac{7}{6}x+4 \end{gathered}$

Now, we know that two lines are parallel if and only if they slopes are equal, so the slope of our line is 7/6 and the option that has the same slope is the option A.

So te correct answer is the option A