Answer:
S(-3,-1)
Step-by-step explanation:
If the points P(5, 7) and Q(-1, 1) lie on the graph of y = x + 2 then they satisfy the its equation i.e y=x+2
If R(1, - 1) is collinear with P and Q, then it must also satisfy y=x+2
We substitute x=1 and y=-1 to get:
[tex] - 1 = 1 + 2[/tex]
This gives
[tex] - 1 = 3[/tex]
Buy this is not true. Hence R(1,-1) is not collinear with P and Q.
Similarly, we the coordinates of S(-3,-1) to get:
[tex] - 1 = - 3 + 2[/tex]
This gives us
[tex] - 1 = - 1[/tex]
This statement is true.
Hence S(-3,-1) is collinear with P and Q
