Find the equation of a line which is parallel to the line 3y – 9x + 15 = 0 and passes through the point (2, 4).

Question

Find the equation of a line which is parallel to the line 3y – 9x + 15 = 0 and passes

through the point (2, 4).

Answer 1

3y-9x+15 =0

solve for y

3y=9x -15

divide by 3

y = 3x -5

3 = slope

any parallel line has the same slope

y-4 = 3(x-2)

y= 3x-6 +4

y = 3x -2 is the parallel line through the point (2,4)