###### Example4.5.7

Let's review. With a simple equation like $$y=2x+3\text{,}$$ we can see that there is a line whose slope is $$2$$ and which has initial value $$3\text{.}$$ So starting at $$y=3$$ when $$x=0$$ (that is, on the $$y$$-axis), each time you would increase the $$x$$-value by $$1\text{,}$$ the $$y$$-value increases by $$2\text{.}$$ With these basic observations, you may quickly produce a table and/or a graph.

 $$x$$ $$y$$ start on $$y$$-axis $$\longrightarrow$$ $$0$$ $$3$$ initial $$\longleftarrow$$ value increase by $$1\longrightarrow$$ $$1$$ $$5$$ increase $$\longleftarrow$$ by $$2$$ increase by $$1\longrightarrow$$ $$2$$ $$7$$ increase $$\longleftarrow$$ by $$2$$ increase by $$1\longrightarrow$$ $$3$$ $$9$$ increase $$\longleftarrow$$ by $$2$$ increase by $$1\longrightarrow$$ $$4$$ $$11$$ increase $$\longleftarrow$$ by $$2$$
in-context