### Home > CCA2 > Chapter 2 > Lesson 2.2.2 > Problem2-117

2-117.

Graph these two lines on the same set of axes: $y=2x$ and $y=−\frac{1}{2}x+6$. Homework Help ✎

1. Find the x- and y-intercepts for each equation.

The y-intercepts are (0, 0) and (0, 6), and the x-intercepts are (0, 0) and (12, 0).

2. Shade the region bounded by the two lines and the x-axis.

3. What are the domain and range of the region? How did you find these values?

Look at the graph or the x-intercepts to find the domain.Find the point of intersection to determine the range.

The domain is $0\le x\le12$, and the range is $0\le y\le4.8$.

4. Find the area of this region. Round your answer to the nearest tenth.

What are the base and height of the triangle?