Question

Which equation represents a linear function

Answer 1

A because it is linear

Answer 2

A.
`y-2=-5(x-2)`

Explanation:

The equation that is a linear function can be written in the form
`y=mx+c`

For the first option, we have;

`y-2=-5(x-2)`

Expand;

`y-2=-5x+10`

y=-5x+12

This is a linear function.

For the second option, we have;

`x+7=-4(x+8)`

Expand;

`x+7=-4x-32`

x+4x=-32-7

5x=-39

`x=-(39)/(5)`

This is a constant function.

for the 3rd option, we have;

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

Expand;

`y-3=xy+4y`

This is not linear because of the xy term

The last option is

`y+9=x(x-1)`

`y+9=x^2-x`

this is quadratic.