Question

If q is the midpoint of segment PR, find the coordinates of R if P (11,-2) and Q (4,3)

Answer 1

The coordinates of R would be (-3, 8)

In order to find this, we need to know that the value of Q's points will always be the average of P and R's points. This is because it is the midpoint. Therefore we can use the following formula.

Value of x

(P + R)/2 = Q

(11 + R)/2 = 4

11 + R = 8

R = -3

Then we can do the same for the y values

Value of y

(P + R)/2 = Q

(-2 + R)/2 = 3

-2 + R = 6

B = 8

Answer 2

The midpoint of a segment divides the segment into equal halves.

The coordinate of R is $(-3,8)$

Given

$P (x_1,y_1)= (11,-2)$

$Q(x,y) = (4,3)$ --- the midpoint

$R = (x_2,y_2)$

The coordinate of R is calculated using the following midpoint formula

$(x,y) = (\frac{x_1 + x_2}{2},\frac{y_1+y_1}{2})$

So, we have:

$(4,3) = (\frac{11 + x_2}{2},\frac{-2+y_2}{2})$

Multiply through by 2

$(8,6) = (11 + x_2,-2+y_2)$

By comparison:

$11 + x_2 = 8$

$-2 + y_2 = 6$

So, we have:

$11 + x_2 = 8$

$x_2 = 8 - 11$

$x_2 = - 3$

$-2 + y_2 = 6$

$y_2 = 6 + 2$

$y_2 = 8$

Hence, the coordinate of R is $(-3,8)$

See attachment for the points of P, Q and R

Read more about midpoints at:

https://brainly.com/question/2441957