Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9. The equation of the parallel line is _____________ *

Question

Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9. The equation of the parallel line is _____________ *

Answer 1

y= mx +b m = slope = 3 = coefficient of the x term. Any parallel line has the same slope, same coefficient of the x term

y=3x + b, solve for b the y intercept by plugging in the given point (2,-2)

-2 = 3(2) + b

b = -2-6 = -8

y = 3x -8 is the parallel line through the given point