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 $m$

Use two points $(0,4)$ and $(1,0)$.
$m=\frac{0-4}{1-0}=\frac{-4}{1}=-4$

Step3: Plug into slope-intercept form

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

Answer:

$y=-4x+4$