Question

write the equation of this line in slope-intercept 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 $(0, 4)$ and $(-4, 0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-4}{-4-0}=\frac{-4}{-4}=1$

Step3: Write slope-intercept equation

Slope-intercept form is $y=mx+b$. Substitute $m=1$, $b=4$.
$y=1x+4$ or $y=x+4$

Answer:

$y = x + 4$