Find an equation for the line parallel to 3 y + 6 x = 27 and goes through the point ( − 7 , − 4 ) . Write your answer in the form y = m x + b .

Question

Find an equation for the line parallel to  and goes through the point . Write your answer in the form .

Answer 1

3y + 6x = 27 through (-7,-4)

has slope = -2

y=-2x + b, plug in the point to solve for b

-4 =-2(-7) + b

b = -4 -14 = -18

y =-2x - 18 is the equation of the line parallel to 3y+6x=27 through the point (-7,-4)

solve 3y+6x =27 for y

3y =-6x +27

y = -2x +9 then the coefficient of the x term is the slope