what is the equation of the line in point - slope form? use the red point in your equation. write your…

Explanation:

Step1: Find two points on the line

The red - point is (-8, 7) and the y - intercept is (0, 6).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-8,7)$ and $(x_2,y_2)=(0,6)$. Then $m=\frac{6 - 7}{0-(-8)}=-\frac{1}{8}$.

Step3: Write the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(-8,7)$ and $m =-\frac{1}{8}$, we get $y - 7=-\frac{1}{8}(x + 8)$.

Answer:

$y - 7=-\frac{1}{8}(x + 8)$