Plot a point C that divides the segment into the
ratio AC:AB= 3/4

Given :

A graph .

To Find :

A point C that divides the segment into the  ratio AC:AB= 3/4 .

Solution :

From the graph we can see that point A and B are ( 1 , -2 ) and ( 5 , 6 ) respectively .

Now , we know point which divide a line segment with end point and in m : n is :

Putting all given values we get :

Therefore , point C is .

Hence , this is the required solution .

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step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get