Question

Identify an equation in slope intercept‘s form for the line parallel to Y=-3x+7 that passes through (2,-4)

Answer 1

Hello from MrBillDoesMath

Answer:   y =  3x -10

Discussion :

Since the line is parallel to y = 3x + 7, the lines have the same slope. This means the point intercept of the parallel line is

y = 3x + b

As the new lines passes through (2, -4). substitute the x and y values of that point in the new equation:

(-4) = 3 (2) + b  =>

-4 = 6 + b  =>       (subtract 6 from each side)

-4 -6 = (-6 + 6) + b =>

-10 =  0 + b =>

b = -10

y =  3x -10 is the equation of the parallel line

Thank you,

Mr. B