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: Find the y-intercept

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

Step2: Calculate the slope

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

Step3: Write slope-intercept form

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

Answer:

$y = -4x + 4$