Question

Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)

Answer 1

A linear function is one whose formula can be written in the form

Ax + By = C where A, B, C are real numbers and A, B are not both 0. (This is standard form, too.)


`(x+4)/(2) = (y-4)/(3)`

"Cross multiply."


`3(x+4) = 2(y-4) \\ 3x+12 = 2y-8`

Subtract 12.


`3x=2y-20`

Subtract 2y.


`3x-2y=-20`

This matches up with standard form with A = 3, B = -2, C = -20.

It's a linear function.