## Intermediate Algebra: Connecting Concepts through Application

The equation to graph by plotting 3 points is $y=\frac{1}{4}$$x$$-3$. This explanation will plug in -4,0, and 4 for $x$, but any 3 numbers can be used: $y=\frac{1}{4}$$(-4)$$-3=-4$ $y=\frac{1}{4}$$(0)$$-3=-3$ $y=\frac{1}{4}$$(4)$$-3=-2$ 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: $(−4,-4)$, $(0,-3)$, and $(4,-2)$.