Question

Which linear function represents the line given by the point slope equation y + 7= 2/3(x+6)

Answer 1

Hello from MrBillDoesMath!

Answer:   f(x) =   (2/3)*x -3   -- which is not a provided answer..

Discussion:

We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:

y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3

        =   (2/3)*x + 4

Subtract 7 from both sides:

y + 7 - 7 = (2/3)*x + 4 - 7

or

y =  (2/3)*x -3

Thank you,

MrB

y + 7= 2/3(x+6)