Answer: No
Step-by-step explanation: To solve this problem, let's first find the slope of the line of the points we know it contains.
Remember to find slope, we just subtract the y coordinates and the x coordinates and we divide them.
It doesn't matter which point we start with first as long as we stay consistent which our y's and x's.
So I will subtract our y coordinates, -6 - 0, which is -6, and subtract our x coordinates, 0 - (-2) or 0 + (+2), which is 2, and divide them to get -3.
Now we know our slope and the original problem gave us our y-intercept which is -6 so our equation is y = -3x - 6.
Now, we plug our given point into our equation for x and y and if we get a true statement, we know the point falls on the line.
So we have (6) = -3(2) - 6 or 6 = -6 - 6 or 6 = -12.
Since this is not a true statement, this point doesn't fall on the line.