Question

question 10
find the equation of a line containing the following points. write the equation in slope - intercept form.
(0, 2) and (-3, -2)
y =
question help: video written example post to forum

Explanation:

Step1: Calculate the slope

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Using points $(0,2)$ and $(-3,-2)$:
$m=\frac{-2-2}{-3-0}=\frac{-4}{-3}=\frac{4}{3}$

Step2: Identify y-intercept

The point $(0,2)$ is the y-intercept, so $b=2$.

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{4}{3}$ and $b=2$:
$y=\frac{4}{3}x+2$

Answer:

$y=\frac{4}{3}x+2$