Question

the coordinates of the mid point of the line joining the points (3p,4) and (2,2q) are (5,p) find the value of p and q

Answer 1

we will use section formula for it.
As (3p,4) is the mid point of the line shows that the ratio in which this point divides the line is 1:1.
So, 5=$\frac{3p*1+2*1}{2}$
=> 10=3p+2
so you get the value of p from here.
now as the y coordinate of that point is known as its "p".
=> p=

Answer 2

Answer:

Step-by-step explanation:

The coordinates of the midpoint of a line are equal to the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line. We can use this property to set up the following system of equations to represent the given information:(3p + 2) / 2 = 5

(4 + 2q) / 2 = pSolving the first equation for 3p, we get:

3p = 10 - 2

3p = 8

p = 8 / 3Substituting this value for p into the second equation, we get:

(4 + 2q) / 2 = 8 / 3

2q = 8 / 3 - 4

2q = -4 / 3

q = -2 / 3Thus, the value of p is 8/3 and the value of q is -2/3.