Question

A line segment has endpoints (-3,2) and (42,32). What is the x coordinate of the point that is 2/3 the distance from (-3,2) to (42,32)?

Answer 1

Well how you doin corey!?
Im trying to find the answer too lol

Answer 2

In this question we have to use the section formula, which is

`P = ( (mx_(2) + nx_(1))/(m+n) , (my_(2) + n y_(1))/(m+n)})`

Where m:n is the ratio in which the line is divided by the point P and (x1,y1) and (x2,y2) are the coordinates of the end points .

Here the ratio is

`2/3 :1/3 = 2:1`

Substituting the values , we will get

`x = (2*42+1*-3)/(2+1)= (84-3)/(3) = (81)/(3) = 27`

So the x coordinate is x=27