Question

4. D1-1, -1)

Points P(5, 7) and Q(-1, 1) lie on the graph of y = x + 2.
Determine whether each point is collinear with P and Q.
5. R(1, - 1)
6. S(-3, -1)​

Answer 1

S(-3,-1)

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:

`- 1 = 1 + 2`

This gives

`- 1 = 3`

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:

`- 1 = - 3 + 2`

This gives us

`- 1 = - 1`

This statement is true.

Hence S(-3,-1) is collinear with P and Q