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

Answer:

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.

Step-by-step 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

         $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

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

         $(\frac{-0.5+4}{2},\frac{3+7.5}{2})=(\frac{3.5}{2},\frac{10.5}{2})=(1.75,5.25)$.