Answer:
First, we must determine slope using the given points and pluging them in the slope formula*.
[tex]m = \frac{6 - (-6)}{2 - (-4)} = \frac{12}{6} = 2[/tex]
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**.
[tex]6 = 2(2) + b\\\\6 = 4 + b\\\\2 = b[/tex]
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.
[tex]y = 2x + 3[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept form: y = mx + b
Hope this helps!
