How do you know that two expressions are equivalent?

What is the distance between the points 4,10 and -3,-14 on the coordinate plane

Tomas used 3 1/3 cups of flour and now has 1 2/3cups left. which equation can he use to find f, the number of cups of flour he had to begin with? f+3 1/3=1 2/3 f-3 1/3=1 2/3 3 1/3f=1 2/3 f/3 1/3=1 2/3

What is the slope of the line shown below?