Question

find the slope - intercept equation of the line graphed below. draw show your work here

Explanation:

Step1: Identify y - intercept

The line crosses y - axis at $y=-4$, so $b = - 4$.

Step2: Find two points

Let's take $(0,-4)$ and $(4,-3)$.

Step3: Calculate slope

$m=\frac{-3 - (-4)}{4-0}=\frac{1}{4}$

Step4: Write equation

The slope - intercept form is $y=mx + b$, so $y=\frac{1}{4}x-4$.

Answer:

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