Given: The ordered pairs for the points on the coordinate plane satisfy the equation : y = x + 3
We have to check which of the given tables shows points that satisfy the given equation.
Now, Consider option A ,we have
for x = 4, y = 6
But putting x=4 in given equation we get y = 4+ 3 = 7 which is not equal to 6
Similarly for other ordered pairs, it does not satisfy the equation.
So, the ordered pairs of table A does not satisfy the given equation y =x + 3
Now, consider option (B), we have:
x=12 and y= 9
Now, for x=12, y = 12 + 3 = 15 which is not equal to 9 so it does not satisfy the given equation.
Hence, table (B) does not satisfy the equation.
Now for option (C),
x=9 and y= 12
y = 9 + 3 = 12 which is same as given in table.
now again check for x=12, you get y=15 you get same value as in table,
This way, all the ordered pairs of option (C) satisfy the equation.
Hence, option (C) is correct.