Question

Find the length and midpoint of segment EF with the following endpoints.
E (-12,2), F (-9,6)

Answer 1

5 Units Long and (-10.5, 4)

Explanation:

Length:

Using the Pythagorean theorem;

a:3 and b:4.

a^2=9 and b^2=16; 9+16=25

sqrt25=5. The length of the line is 5 units long

Midpoint:

Rise: 4, Run: 3; The slope is y=4/3x+b (b is irrelevant)

If we go half the distance of the line (½*3=1.5 and ½*4=2);

We would Rise 2 and Run 1.5 from Point E, and would end up at (-10.5, 4)

Here's image proof: