Question

Find the ratio in which the line 2x+y=4 divides the join of a(2,2) and b(3,7). Also, find the coordinates of the point of their intersection.

Answer 1

Answer:

ratio is 9:2 and point of intersections is (24/11, -4/11)

Step-by-step explanation:

x= 2m+3/m+1

y=-2m+7/m+1

line = 2x+y=4

so now, substitute the values of x and y in the line equation.

we get,

2[$\frac{2m+3}{m+1}$] + [$\frac{-2m+7}{m+1}$] =4

4m+6-2m+7-4m-4=0

2m-9=0

m=9/2

now substitute value of m in both x and y

x= 11/2

y= -4/11

thank you~

please mark as brainliest