Aline containing the points (3,0) and (-2,-2) is graphed on a coordinate grid. which of these
points is a solution to the equation that represents this line?

(-12,-6)
(-4,-3)
(0.5,-1)
(5,0.8)
(9,3)
(18,6)

(-12,-6)

Step-by-step explanation:

If we already have two points of the line, we can find its slope (), its intersection with the y-axis (), hence its equation:

Point 1:

Point 2:

Slope equation:

This is the slope of the line

Now, the equation of the line is:

We already know the slope, now we have to find with any of the given points. Let's choose Point 1:

Isolating :

Then, the equation of the line is:

With this equation we can find which point is a solution. Let's begin with the first point (-12,-6):

Since both sides of the equation are equal, (-12,-6) is the point that fulfills the solution of the equation.

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: