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)

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:

This gives

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:

This gives us

This statement is true.

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

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

true

step-by-step explanation: