Question

determine the ratio in which the point (m,6) divides the join of A(1,2) B(6,7) also find the value of m​

Answer 1

Step-by-step explanation:

By taking y-coordinates:

$\frac{m1}{m2} = \frac{y- y1}{y2 - y}$

here, y=6 y1=2 y2=7.

$\frac{m1}{m2} = \frac{6 - 2}{7 - 6} = \frac{4}{1}$

m1:m2=4:1.

Now, by considering x coordinate:

x =m X1=1 and X2=6.

$\frac{4}{1} = \frac{m - 1}{6 - m}$

4×(6-m)=m-1

24-4m=m-1

24+1=4m+m

25=5m

m=25/5=5.