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 $(0, -2)$, so $b = -2$.

Step2: Calculate slope

Use two points $(0, -2)$ and $(8, -4)$. Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m = \frac{-4 - (-2)}{8 - 0} = \frac{-2}{8} = -\frac{1}{4}$

Step3: Plug into slope-intercept form

Slope-intercept form: $y = mx + b$
Substitute $m = -\frac{1}{4}$ and $b = -2$

Answer:

$y = -\frac{1}{4}x - 2$