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 intercept and point

The line crosses y-axis at $(0, -2)$ (y-intercept $b=-2$) and passes through $(6, -4)$.

Step2: Calculate slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-2)}{6 - 0} = \frac{-2}{6} = -\frac{1}{3}$

Step3: Write slope-intercept form

$y = mx + b = -\frac{1}{3}x - 2$

Answer:

$y = -\frac{1}{3}x - 2$