(2,6); y= -3x+4

Question

Write an equation in slope intercept form of the line that passes through the given and is parallel to the graph of the given equation

Answer 1

Since the line that you are looking for is parallel to a line with a slope of -3, the line that you are looking for has a slope of -3.

m = -3

y - y₁ = m(x - x₁)                     Point-slope formula

y - 6 = -3(x - 2)                       Substitution

y - 6 = -3x + 6                         Distribute the -3

y - 6 + 6 = -3x + 6 + 6              Add 6 to each side

y = -3x + 12                             Simplify