Parallel and perpendicular lines

Question

4x+7y=14, fine the equation of the line which passes through the point(-10,5) and is parallel to the given line

Answer 1

y-5 = (-4/7)(x+10)

y = -4x/7 -5/7 is the parallel line through the point (-10,5)

any parallel line has the same slope =-4/7

or multiply by 7 to eliminate fractions

7y =-4x -5

4x+7y =-5