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katovenus [111]
3 years ago
7

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

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
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.
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