Example4.11.9

Find the equation of the line in the graph.

(a)Graph of a line
(b)Identify the line's \(y\)-intercept, \(10\text{.}\)
(c)Identify the line's slope by a slope triangle. Note that we can pick any two points on the line to create a slope triangle. We would get the same slope: \(-\frac{2}{3}\)
Figure4.11.10Find the equation of the line in the graph.

With the line's slope \(-\frac{2}{3}\) and \(y\)-intercept \(10\text{,}\) we can write the line's equation in slope-intercept form: \(y=-\frac{2}{3}x+10\text{.}\)

in-context