ANSWER
(-1, 7) and (4, 32)
Step-by-step explanation
We are given the function:
y = 5x + 12
Coordinate points are written in the form (x, y), so, to find the points that lie on the graph of the function, we have to input each of the x values and see if the given y values match it.
(-2, 22): when x = -2, y = 22:
y = 5(-2) + 12
y = -10 + 12
y = 2
It is not on the graph.
(-1, 7): when x = -1, y = 7:
y = 5(-1) + 12 = -5 + 12
y = 7
It is on the graph.
(0, 17): when x = 0, y = 17:
y = 5(0) + 12 = 0 + 12
y = 12
It is not on the graph.
(3, 15): when x = 3, y = 15:
y = 5(3) + 12 = 15 + 12
y = 27
It is not on the graph.
(4, 32): when x = 4, y = 32:
y = 5(4) + 12 = 20 + 12
y = 32
It is on the graph.
The correct answers are (-1, 7) and (4, 32)