Question

Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true? Check all that apply.

Answer 1

Lauren could solve 7.5 + 3 / 2 to find the y-intercept.

Lauren could solve (1/2)(4+0.5) to find the x-intercept.

Finding the midpoint is equivalent to partitioning a line segment a 1:1 ratio.

Explanation:

Answer 2

Answer with explanation:

We have to find the mid point of the points P (-0.5,3) and Q(4,7.5) that lie on two dimensional coordinate system .Suppose mid point of PQ is R(x,y).

→Mid point of a line segment means that point on the line segment which divides the Segment in the ratio of 1:1.

→Mid point formula , point joining
`(x_(1),y_(1)),(x_(2),y_(2))` is

`((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2))`

→So, Mid point of line segment that has endpoints at (–0.5, 3) and (4, 7.5) is

`((-0.5+4)/(2),(3+7.5)/(2))=((3.5)/(2),(10.5)/(2))=(1.75,5.25)`.