Question

Which equation represents a line which is parallel to the line 7y-4x=-141. y= 7/4x+22. y = 4/7x-13. y = -7/4x+64. y = -4/7x-3

Answer 1

The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.

We are given the line 7y-4x=-14, let's organize the equation like the general form:

$\begin{gathered} 7y-4x=-14 \\ 7y=4x-14 \\ y=\frac{4}{7}x-2 \end{gathered}$

In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.

Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.

By looking at the answer options, we can select the second option y= 4/7x-1