# Chapter 3 - Introduction to Graphing - 3.6 Slope-Intercept Form - 3.6 Exercise Set: 50

$\color{blue}{y=1.5x+9}$

#### Work Step by Step

RECALL: (1) The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept. (2) The slope is the rise (change in $y$) over run (change in $x$). The given graph has a y-intercept of $(0, 9)$. This means $b=9$. Note that from $(0, 9)$ to the other point on the line $(2, 12)$: rise =$12-9=3$ run = $2-0=2$ Thus, the slope of the line is $\dfrac{rise}{run} = \dfrac{3}{2} = 1.5$. Therefore, the equation of the line in slope-intercept form is $\color{blue}{y=1.5x+9}$.

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