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.)

$\frac{x+4}{2} = \frac{y-4}{3}$

"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.