Question

if p(2,-3) is the midpoint of the line segment joining A(3,-10) and B(1,p) find p​

Answer 1

Step-by-step explanation:

the value of p is 4

the value of p is 4

Answer 2

Given,

AB is a line segment.

Coordinates of A = (3,-10)

Coordinates of B = (1,p)

Point C is the midpoint of the line segment AB.

Coordinates of C = (2,-3)

To find,

The value of p.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

if AB is a line segment and point C is the midpoint of the line segment AB, then;

The coordinates of the point C

The coordinates of the point C= average of the corresponding coordinates of points A and B

Now,

y-coordinate of C

= average of the y-coordinates of A and B

=> -3 = (-10 + p)/2

=> p-10 = -6

=> p = 4

Hence, the value of p is equal to 4.