Question

point P(a/8,4) is the mid-point of the line segment joining the points A(-5,2) and B(4,6). The value of 'a' is -
A -4
B 4
C -8
D -2​

Answer 1

Answer:

A. -4

Step-by-step explanation:

applying formula

a/8=-5+4/2

a=-4

Answer 2

The value of a is -4

Step-by-step explanation:

Given that P($\frac{a}{8}$,4)  is the mid-point of the line segment joining the points  A(-5,2) and B(4,6)

To find the value of in the midpoint  :

• Let  $(x_1,y_1)$ and $(x_2,y_2)$ be the given points  A(-5,2) and B(4,6) respectively
• Given that P is the mid point of the line segment
• P=($\frac{a}{8}$,4)

The mid point formula is $P(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Now substitute the points in the formula we get

• $(\frac{a}{8},4)=(\frac{-5+4}{2},\frac{2+6}{2})$
• $(\frac{a}{8},4)=(\frac{-1}{2},\frac{8}{2})$
• $(\frac{a}{8},4)=(\frac{-1}{2},4)$

Now equating the values we get

• $\frac{a}{8}=\frac{-1}{2}$

• $a=\frac{-1}{2}\times 8$
• $=\frac{-8}{2}$
• $=-4$

Therefore a=-4

The value of a is -4

Therefore option A) -4 is correct