Question

Find the ratio in which the point (a,7) divides the line segment AB, given A(-5,6) and B(4,10). Also find the value of x.

Answer 1

Using section formula:
a=(m*4+n*(-5) )/(m+n)......eqn 1.
7=(m*10+n*6)/(m+n)......eqn 2.

solving 2:
7m+7n=10m+6n
3m=n
m/n=1/3.

Ratio=1/3.


eqn 1:
a=(4m-5n)/(m+n)
use n=3m here.
a=(4m-5(3m))/(m+3m)
a=-11/4.
done.
:-)

Answer 2

You can say value of a not value of x
Hope It is helpful for you.
Please mark as a Brainliest answer.