Question

Find an equation of the line. Write the equation in the standard form.
Through (7,6); parallel to 4x-y=9

Answer 1

Parallel lines have the same slope.
Find the slope of 4x-y=9
Use the new slope to obtain
y = mx + b, that is
y = 4x + b then sub in your (x,y) that is (7,6) and solve for b : ) as you are passing through that point.
Then your equation is y=4x +b (with whatever b you found)

Answer 2

Now just put that into standard form.