Answer the given questions about the indicated examples of this section.

In the first line of Example 10, if − is changed to +, what changes occur in the graph?

Data from Example 10

Sketch the graph of the line 2x − 3y = 6 by finding its intercepts and one check point. See Fig. 5.13. First, we let x = 0. This gives us −3y = 6, or y = −2. This gives us the y-intercept, which is the point (0, −2). Next, we let y = 0, which gives us 2x = 6, or x = 3. This means the x-intercept is the point (3, 0). The intercepts are enough to sketch the line as shown in Fig. 5.13. To find a check point, we can use any value for x other than 3 or any value of y other than −2. Choosing x = 1, we find that y = −4/3. This means that the point (1, −4/3)should be on the line. In Fig. 5.13, we can see that it is on the line. Note that in order to graph this on a calculator, we must first solve for y to get y = 2/3x - 2. Then we can enter y₁ = (2/3)x − 2 and graph with appropriate window settings.

-2 2 Intercepts -2 0 y (0, -2) -4F 2 (3,0) 4 (1.-) Check point Fig. 5.13 X