Question

Find the ratio in which line 2x + y = 4 divides the line segment joining the points A (2, –2) and

B (3, 7).​

Answer 1

Step-by-step explanation:

consider the figure in attachment

by using section formula

x=mx2+nx1/m+n

y=my2+ny1/m+n

=x=3m+2n/m+n

=y=7m-2n/m+n

put the values of x and y in the above equation

2x+y=4

=2(3m+2n/m+n)+(7m-2n/m+n)=4

=6m+4n/m+n +7m-2n/m+n

=6m+4n+7m-2n/m+n=4

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

=13m+2n=4m+4n

=9m=2n

= m/n = 2/9

the required ratio is 2:9

hope it helps

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Answer 2

Step-by-step explanation:

here is your answer

see in attachment

Ratio is 2:9