Question

find an equation of the line graphed below. write your answer in the slope - intercept form $y = mx + b$.
$y = \square$

Explanation:

Step1: Identify two points

The line passes through $(0, 2)$ and $(-2, -3)$.

Step2: Calculate the slope $m$

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-3-2}{-2-0}=\frac{-5}{-2}=\frac{5}{2}$

Step3: Find y-intercept $b$

The line crosses y-axis at $(0,2)$, so $b=2$.

Step4: Write slope-intercept equation

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y=\frac{5}{2}x+2$