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

$P = ( \frac{mx_{2} + nx_{1}}{m+n} , \frac{my_{2} + n y_{1}}{m+n}})$

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

$x = \frac{2*42+1*-3}{2+1}= \frac{84-3}{3} = \frac{81}{3} = 27$

So the x coordinate is x=27