Question

If P and Q are the midpoints of MT and JK respectively then sketch PQ in the above coordinate plane

Answer 1

The graph in the attached figure

Explanation:

see the attached figure N 1 to better understand the problem

we know that

The formula to calculate the midpoint between two points is equal to

`Xm((x1+x2)/(2),(y1+y2)/(2))`

step 1

Find the midpoint P of segment MT

we have

M(9,8) and T(-6,-1)

substitute

`P((9-6)/(2),(8-1)/(2))`

`P(1.5,3.5)`

step 2

Find the midpoint Q of segment JK

we have

J(7,2) and K(1,-8)

substitute

`Q((7+1)/(2),(2-8)/(2))`

`Q(4,-3)`

step 3

Sketch PQ in the above coordinate plane

see the attached figure N 2