Find the lateral area of the prism.

120 sq. in.
150 sq. in.
720 sq. in.

For this case, we must find the lateral area of the pentagonal prism shown in the figure.

By definition:

Where:

: Is the lateral area

: It is the perimeter of the base

h: It's the height

Substituting the values we have:

Because it has a slope of 5, we can already set up part of the equation:

y = 5x

Now, we need to find the y-intercept.

We can do that by subtracting 1 from the x value of the provided coordinate pair, and subtracting 5 from 9.

1 - 1 = 0

9 - 5 = 4

The y-intercept is 4.