Explanation:
The line
Is in point Slope form. This means the Slope and the y intercept are visible in the equation 9f the form
Where m is the Slope of the line and b is the y coordinate of the y intercept.
To determine the y intercept, assume x = 0, then - 3x = 0, so y = 3 and x = 0 (0,3}
From that point you can find the next point by choosing a value for x in the given equation to find a corresponding y.
Substitute 1 for x and get 0 for y, (1,0)
Substitue 2 for x and get - 3 for y, (2,-3)
To answer the questions use the supplied coordinates in the original equation.
#1. (-1,6)
This is a true statement, so the line does pass through this point.
#2 (12,-33)
Again, the statement is true, so the line passes through the point.
#3 (2,9)
This is a false {untrue} statement, so the point does not sit on the line.