To find the equation of the line in the form $y = mx + b$, we need to determine two things:

1. The slope $m$ of the line.
2. The y-intercept $b$, which is where the line crosses the y-axis.

Step 1: Find the slope $m$

The slope $m$ is the "rise over run," which measures how steep the line is. The formula for the slope between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the image, let's choose two points on the line. We can clearly see that:

• One point is $(-4, -1)$ (left side of the graph).
• Another point is $(4, 5)$ (right side of the graph).

Now, calculate the slope:

$m = \frac{5 - (-1)}{4 - (-4)} = \frac{5 + 1}{4 + 4} = \frac{6}{8} = \frac{3}{4}$

So, the slope $m = \frac{3}{4}$.

Step 2: Find the y-intercept ( b