###### Example4.9.5Using 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 form (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.

Compared to the table method, the slope triangle method:

• is less straightforward
• doesn't take the time and space to make a table
• doesn't involve lots of calculations where you might make a human error
• shows slope triangles, which reinforces the meaning of slope
in-context