Question

What value of y would turn the point (1/3, y) in a solution of the equation below?

y+4= -12 (x - 1)

Answer 1

y = 4

Explanation:

y + 4 = - 12(x - 1)

substitute the x- coordinate x =
`(1)/(3)` , into the equation and solve for y

y + 4 = - 12 (
`(1)/(3)` - 1) ← multiply each term in the parenthesis by - 12

y + 4 = - 4 + 12

y + 4 = 8 ( subtract 4 from each side )

y = 4

thus (
`(1)/(3)` , 4 ) is a solution to the equation