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 $(0, -5)$, so $b=-5$.

Step2: Calculate slope using two points

Use points $(0, -5)$ and $(6, -2)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-2-(-5)}{6-0}=\frac{3}{6}=\frac{1}{2}$

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{1}{2}$ and $b=-5$: $y=\frac{1}{2}x-5$

Answer:

$y=\frac{1}{2}x-5$