Answer:
First, we must determine slope using the given points and pluging them in the slope formula*.
![m = (6 - (-6))/(2 - (-4)) = (12)/(6) = 2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nmyd4x1t5ys85p9ge2j6puvhyaslz3r178.png)
The slope is 2. You can prove this by using the graph.
Second, we plug in the slope we found, and one of the given points to solve for b using slope-intercept form**.
![6 = 2(2) + b\\\\6 = 4 + b\\\\2 = b](https://img.qammunity.org/2021/formulas/mathematics/middle-school/b4ml9rznfmxcxucr3leueku30py6axewdr.png)
The y-intercept (or b) is 2. You can prove this by using the graph.
Finally, we can now create the equation of the line in slope-intercept form.
![y = 2x + 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/m0fd0guntgcl01ahkxyhu6dtb08zchf4ax.png)
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
Hope this helps!