## Intermediate Algebra: Connecting Concepts through Application

The equation to graph by plotting 3 points is $x=\frac{2}{3}$$y$$-4$. However, it will be easier to solve if we write this equation in slope-intercept form: To get $y$ by itself, add 4 to both sides of the equation to get $x+4=\frac{2}{3}y$ Now, divide $\frac{2}{3}$ on each side of the equation to get $\frac{3}{2}x$$+6=y Rewrite with y in front as y=$$\frac{3}{2}x$$+6 This explanation will plug in -2,0, and 2 for x, but any 3 numbers can be used: y=$$\frac{3}{2}(-2)$$+6=3 y=$$\frac{3}{2}(0)$$+6=6 y=$$\frac{3}{2}(2)$$+6=9$ These three solutions provide an x and y-coordinate for each point. The numbers substituted for x will be the x-coordinates and the solutions to that will be the y-coordinates: (−2,3), (0,6), and (2,9).