Question

https://www.ixl.com/math/level-j/write-a-linear-equation-from-a-graph
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

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

Step3: Write linear equation

Use slope-intercept form $y=mx+b$
Substitute $m=-\frac{1}{2}$ and $b=4$

Answer:

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