Question

For the line segment whose endpoints are X (1,2) and Y (6,7) find the x value for the point located 1/3 the distance from X to Y
a ) 3.5
b ) 3.3
c ) 2.7
d ) 2.4

Answer 1

@phi can you help?

Answer 2

it's confusing using X and Y for names of points because we use x and y for the (x,y) coordinates of the points.

anyway, if we look just at the x coordinates, how far is it from X to Y?

Answer 3

in other words, how far from 1 to 6

Answer 4

5? @phi

Answer 5

yes.

now,
1/3 the distance from X to Y in the x direction

in other words, what is ⅓ of 5 ?

Answer 6

you do ⅓ * 5

or 5/3

Answer 7

would it be d? @phi

Answer 8

what is ⅓ of 5 ?

Answer 9

5/3 would be 1 and 2/3 @phi

Answer 10

1 and ⅔ or 1.666 is how far we move from the x coordinate of X
X is at (1,2) and its x coordinate is 1

we add 1.666 to 1

Answer 11

so c? @phi

Answer 12

1+1.666 is 2.666

if you round to the nearest tenth (to match the answer choices)
you get 2.7