find the equation of this line.\nsimplify your answer completely

Explanation:

Step1: Find the slope

The two - point form of the slope $m$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0, - 4)$ and $(x_2,y_2)=(2,2)$. Then $m=\frac{2-( - 4)}{2 - 0}=\frac{2 + 4}{2}=\frac{6}{2}=3$.

Step2: Find the y - intercept

The equation of a line is $y=mx + b$, where $b$ is the y - intercept. When $x = 0$, from the graph, $y=-4$, so $b=-4$.

Answer:

$y = 3x-4$