Question

write the equation of this line in slope - intercept form.
write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 4)$, so $b = 4$.

Step2: Calculate slope using two points

Use points $(-8, 0)$ and $(0, 4)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$\displaystyle m=\frac{4-0}{0-(-8)}=\frac{4}{8}=\frac{1}{2}$

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{1}{2}$ and $b=4$.
$y=\frac{1}{2}x+4$

Answer:

$y=\frac{1}{2}x+4$