Answer:
A. [tex]y-2=-5(x-2)[/tex]
Step-by-step explanation:
The equation that is a linear function can be written in the form [tex]y=mx+c[/tex]
For the first option, we have;
[tex]y-2=-5(x-2)[/tex]
Expand;
[tex]y-2=-5x+10[/tex]
y=-5x+12
This is a linear function.
For the second option, we have;
[tex]x+7=-4(x+8)[/tex]
Expand;
[tex]x+7=-4x-32[/tex]
x+4x=-32-7
5x=-39
[tex]x=-\frac{39}{5}[/tex]
This is a constant function.
for the 3rd option, we have;
[tex]y-3=y(x+4)[/tex]
Expand;
[tex]y-3=xy+4y[/tex]
This is not linear because of the xy term
The last option is
[tex]y+9=x(x-1)[/tex]
[tex]y+9=x^2-x[/tex]
this is quadratic.
