Question

write the equation of this line in slope-intercept form.
write your answer using integers, proper fractions, and improper fractions in si

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, -1)$, so $b=-1$.

Step2: Calculate slope $m$

Use two points: $(0, -1)$ and $(4, -4)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-1)}{4-0}=\frac{-3}{4}$

Step3: Substitute into slope-intercept form

Slope-intercept form: $y=mx+b$
Substitute $m=-\frac{3}{4}$ and $b=-1$.

Answer:

$y=-\frac{3}{4}x - 1$