write the equation of this line in slope - intercept form. write your answer using integers, proper…

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at the point (0, 5), so $b = 5$.

Step2: Find the slope

Pick two points, say (-8, 1) and (0, 5). The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{5 - 1}{0-(-8)}=\frac{4}{8}=\frac{1}{2}$.

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substituting $m=\frac{1}{2}$ and $b = 5$, we get $y=\frac{1}{2}x+5$.

Answer:

$y=\frac{1}{2}x + 5$