First, a line that is parallel, means a line that has the same slope as the original. To find the slope of the original equation, we have to solve for y. -2x+3y=-6 3y=2x-6 y=2/3x-2 From this equation, we can see that the slope of the line is 2/3. For every 2 units you go up, you move three units over.
Now we need to use the point (-2,0) to find the equation of the parallel line. y-y=m(x-x)
Plug in the point coordinates and the slope, and solve for the final equation of the line. y-0=2/3(x+2) y=2/3x+ 4/3
