enter the equation of the line in the form y = mx + b where m is the slope and b is the y - intercept.

Explanation:

Step1: Find two points on the line

Let's take two points $(0, - 2)$ and $(1,1)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(0,-2)$ and $(1,1)$: $m=\frac{1-(-2)}{1 - 0}=\frac{1 + 2}{1}=3$.

Step3: Identify the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,-2)$, $b=-2$.

Step4: Write the equation of the line

Using the form $y=mx + b$, we substitute $m = 3$ and $b=-2$ to get $y = 3x-2$.

Answer:

$y = 3x-2$