{(4, 10), (6, 12), (12, 18)} (option C)
Step-by-step explanation:
The equation represented by the plot:
y = x + 6
For a set of orderd pair to be plotted on the grid: when we insert the value of x, the value of y must correspond to the value of y coordinate of the ordered pair.
Picking just one ordered pair in each option to check:
a) x = 3, y = 21
y = 3 + 6
y = 9
The y coordinate and the value of y we got from calculation are not the same
b) x = 3, y = 10
y = 3 + 6
y = 9
The y coordinate and the value of y we got from calculation are not the same
c) x= 4, y = 10
y = 4 + 6 = 10
x = 6, y = 12
y = 6 + 6 = 12
x = 12, y = 18
y = 12 + 6 = 18
The y coordinate and the value of y we got from calculation are the same
d) x = 7, y = 10
y = 7 + 6
y = 13
The y coordinate and the value of y we got from calculation are not the same
Hence, the set of ordered pairs that could also be plotted on the grid using y = x + 6 is {(4, 10), (6, 12), (12, 18)} (option C)