Question

What is the value of p and q if (2,-3) is the midpoint of the line segment joining (2,p) and (q,-1)?

Answer 1

Answer:

q = 2, p = - 5

Step-by-step explanation:

We know that coordinates of midpoint of any line segment can be obtained by

$\frac{x_1 + x_2 }{2}, \frac{y_1 + y_2}{2}$

Where

$(x_1, y_1), (x_2, y_2)$ are coordinates of end points of the line

∴ $\frac{x_1 + x_2 }{2}, \frac{y_1 + y_2}{2} = (2, -3)$

On comparing we get

$\frac{x_1+x_2}{2}=2$

(2 + q)/2 = 2

2 + q = 4

q = 2

Also,

$\frac{y_1 + y_2 }{2} = -3$

( p - 1)/2 = -3

p - 1 = - 6

p = - 5