Question

write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify intercepts

The y-intercept $b = -3$ (where the line crosses the y-axis). The line passes through $(8,0)$ and $(0,-3)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0 - (-3)}{8 - 0}=\frac{3}{8}$

Step3: Write line equation

Use slope-intercept form $y=mx+b$
$y=\frac{3}{8}x - 3$

Answer:

$y=\frac{3}{8}x - 3$