To find the answer,we can use the two-point formula:
[tex](y1 - y2) = m(x1 - x2)[/tex]
Where m is the slope.
To find y,we have to first find the slope,then insert either of the coordinates into the equation.
The formula of the slope:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
In this case:
[tex] \frac{6 - ( - 2)}{ - 4 - ( - 8)} \\ = \frac{6 + 2}{ - 4 + 8} \\ \frac{8}{4} \\ = 2[/tex]
We can then put (-4，6) into the equation:
6-y = 2[x-(-4)]
-y = 2x+4(2)-6
-y = 2x+2
y = -(2x+2)
y = -2x-2
Therefore the answer is -2x-2.
Hope it helps!
