Find the equation of a line parallel to y = -3x + 2 and goes through the point (-4, 2).

Answer 1

y=mx + b is a standard form for a linear equation where m=slope and b is the y intercept

plug in the point and value of m to solve for b

2 = -3(-4) + b

b = 2-12 =-10

y=-3x -10 is a parallel line through the given point

It's parallel if it has the same slope =-3 = coefficient of the x term

2=-3(-4)-10 =12-10 = 2

try sketching the graph. Two parallel lines, both downward sloping, the parallel line lower than the given line.