Question

Need help with this question

Answer 1

To find the answer,we can use the two-point formula:
$(y1 - y2) = m(x1 - x2)$
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:

$\frac{y1 - y2}{x1 - x2}$

In this case:

$\frac{6 - ( - 2)}{ - 4 - ( - 8)} \\ = \frac{6 + 2}{ - 4 + 8} \\ \frac{8}{4} \\ = 2$

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!