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 y-intercept $b$ is where the line crosses the y-axis: $b = -3$

Step2: Calculate slope $m$

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

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-1$, $b=-3$.
$y = -1x + (-3)$

Answer:

$y = -x - 3$