Answer:
y = -x - 8
Explanation:
First, calculate the slope:
m =
![(y2-y1)/(x2-x1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bfzf3yhi4vb32rywgz5x1tf3eazz6f61eq.png)
(x₁, y₁) will be (8, -16)
(x₂, y₂) will be (6, -14)
Plug in values:
m =
![(-14 - -16)/(6-8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7dri7344o8s24tbs46z8ewrtt1wlg885vh.png)
simplify:
m =
![(2)/(-2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bm7tbnm49kgyq60blbt91tarxkesg2ierq.png)
m = -1
plug values into y = mx + b:
-16 = (-1)(8) + b
solve for b:
b - 8 = -16
b = -8
rewrite the equation:
y = -1x - 8
y = -x - 8