Example 4.9.5 Using Slope Triangles

Although making a table is straightforward, the slope triangle method is both faster and reinforces the true meaning of slope. In the slope triangle method, we first identify some point on the line. With a line in slope-intercept formĀ (4.5.1), we know the \(y\)-intercept, which is \((0,1)\text{.}\) Then, we can draw slope triangles in both directions to find more points.

Figure 4.9.6 Marking a point and some slope triangles
Figure 4.9.7 Graphing \(y=-2x+1\) by slope triangles

Compared to the table method, the slope triangle method: