Question

What is the equation of a line parallel to the line whose equation is 2x-3y=9Y-1=2/3(x+6)Y+1=2/3(x-6)Y-6=2/3(x+1)Y+6=2/3(x-1)

Answer 1

First step is to find the slope intercept form of the line

$\begin{gathered} 2x-3y=9 \\ -3y=-2x+9 \\ y=-\frac{2}{-3}x+\frac{9}{-3} \\ y=\frac{2}{3}x-3 \end{gathered}$

A parallel line to the given line is the one that has an equation with the same slope, it means 2/3. In this case, all options are correct, because all lines have the same slope.