question\nwrite the equation of the line in fully simplified slope - intercept form.\nanswer attempt 1 out…

Answer:

$y = -\frac{1}{2}x + 8$

Explanation:

Step1: Find the slope ($m$)

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let's take two points on the line, say $(0,8)$ and $(2,7)$. Then $m=\frac{7 - 8}{2-0}=\frac{-1}{2}=-\frac{1}{2}$.

Step2: Find the $y$-intercept ($b$)

The $y$-intercept is the value of $y$ when $x = 0$. From the point $(0,8)$, we get $b = 8$.

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m = -\frac{1}{2}$ and $b = 8$, we get $y=-\frac{1}{2}x + 8$.