Question

Do the following points lie on the graph of

9x − 3y = 63? I need the steps of how I got these right

Answer 1

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.