Answer:
a. The point is on the graph
b. The point is not on the graph
Explanation:
To know if any of the points lie on the graph of 9x - 3y = 63, substitute the value of each given point into the equation to see if the equation is true.
a. (5, -6)
Substitute x = 5 and y = -6 into 9x - 3y = 63:
9(5) - 3(-6) = 63
45 + 18 = 63
63 = 63 (the equation is TRUE)
Therefore, (5, -6) is a point on the graph.
b. (2, 1)
Substitute x = 2 and y = 1 into 9x - 3y = 63:
9(2) - 3(1) = 63
18 - 3 = 63
15 = 63 (this is NOT TRUE)
Therefore, the point (2, 1) is not a point on the graph.