To start we need to find the slope of the original line. We can do this by solving the equation for y.
3x + 7y = 21
7y = -3x + 21
y = -3/7x + 3
Now we know the slope to be -3/7. Since parallel lines have same slopes, we know the new line also will have a -3/7 slope. We can now use that along with the given point in point-slope form to find the equation.
So the slop intercept equation is y= mx+b, so you take the 1/2x and plot it on the X axis. then since the slop is 1, you go over one, up one. and then that is how you graph the equation.
