Answer:
The slope of the line is: 3
Step-by-step explanation:
Given the points
(-3, -6) and (3, 12)
Determine the slope between (-3, -6) and (3, 12) using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
where
m is the slope between (x₁, y₁) and (x₂, y₂)
In our case,
now substitute (x₁, y₁) = (-3, -6) and (x₂, y₂) = (3, 12) in the slope formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{12-\left(-6\right)}{3-\left(-3\right)}[/tex]
[tex]m=\frac{12+6}{3+3}[/tex]
[tex]m=\frac{18}{9}[/tex]
[tex]m=3[/tex]
Therefore, the slope of the line is: 3
