1. The points L(4, 0),M(10, 0), and N(7, 5) form Triangle LMN. What is the sum of the slopes of the three sides of the triangle?

Answer 1

Slope between two points P1(x1,y1), P2(x2,y2) is given by:
m=(y2-y1)/(x2-x1)
So the sum of the slopes would be the sum of the slopes LM, MN, and NL.
For LM,
m=(0-0)/(10-4)=0
I am sure you can complete the rest.