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

Step3: Write slope-intercept form

Slope-intercept form is $y = mx + b$. Substitute $m=-1$ and $b=-2$.
$y = -1x + (-2)$

Answer:

$y = -x - 2$