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 $(0, -7)$, so $b = -7$.

Step2: Calculate slope using two points

Use points $(0, -7)$ and $(-3, 0)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0 - (-7)}{-3 - 0}=\frac{7}{-3}=-\frac{7}{3}$

Step3: Substitute into slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=-\frac{7}{3}$ and $b=-7$.

Answer:

$y=-\frac{7}{3}x - 7$