Recall that an ordered pair lists the x-coordinate first, then the y-coordinate last: (x, y). So, we know that in one of the pairs, x=-3, and we need to find y. We will plug x=-3 into the equation:
y=4(-3)+6
Following PEMDAS:
y=-6
So, the ordered pair is (-3, -6)
In the second ordered pair, (x, 2), we are given y=2 and need to find x. Input y=2 into the equation:
(2)=4x+6
Solving for X:
-4=4x
-1=x or x=-1
So, the second ordered pair is (-1, 2).
We can check these coordinates via the slope formula as the slope should equal 4 in the equation:
m=(2)-(-6)/(-1)-(-3)
m=8/2
m=4, so our coordinates are correct.