write the equation of the line in fully simplified slope - intercept form.\nanswer attempt 1 out of 2\nanswer:

Explanation:

Step1: Find two points on the line

The line passes through points (-8, 0) and (0, 5).

Step2: Calculate the slope $m$

The slope - formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(-8,0)$ and $(x_2,y_2)=(0,5)$. Then $m=\frac{5 - 0}{0-(-8)}=\frac{5}{8}$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point (0, 5), $b = 5$.

Step4: Write the equation in slope - intercept form

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{5}{8}$ and $b = 5$ gives $y=\frac{5}{8}x+5$.

Answer:

$y=\frac{5}{8}x + 5$