Question

Find the ratio in which the y-axis divides the line segment joining the points (6, – 4) and (-2, - 7). Also find the point of intersection.​

Answer 1

Answer:

take a x axis and y axis make a number line of integers count anticlockwise directions in 4th quardractic you find (-2,-7) and take a linear line and do it with next again in 3rd for (6,-4) and you can get the answers

Answer 2

Answer:

m:n=3:1

(x,y)=(0,-25/4)

Step-by-step explanation:

X=0 as line that divides the line segment is y axis.

(0,y)=( mx2 + nx1 /m+n, my2+ny1/m+n)

(0,y)= (-2m+6n/m+n, -7m+-4n/m+n)

From this,

0=-2m+6n/m+not

-2m+6n=0

2m=6n

M/n=6/2

m:n=3:1

From this,

y=(3 (-7)+1 (-4)/3+1)

y= -21-4/4

y= -25/4

Point of intersection is (0,-25/4).

Tq