How do you find the area of each triangle?

There's a big triangle with base (2+6) meters and altitude 5 meters.

The formula for the area of a triangle of base B and altitude H is

A = BH/2.

The area of the large triangle is thus A = (8 meters)(5 meters)/2, or 
20 square meters.

Use A = BH/2 to find the areas of the other triangles.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.