The equation of the line is:
y = 3*x - 6
How to find the linear equation?
The general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through 2 points (x₁, y₁) and (x₂, y₂), then the slope is given by:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we can use two points from the table, I will use the first two:
(-2, -12) and (0, -6)
Then the slope is:
[tex]a = \frac{-6 - (-12)}{0 - (-2)} = 3[/tex]
And because we have the point (0, -6), we know that the y-intercept is -6, so the linear equation is:
y = 3*x - 6
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
