Exercise 98 Page 99

We need to match the given graphs to their corresponding equations, explaining how we found each match.

1.	2.
3.	4.

One way we can identify each match is by first finding the $x\text{-}$ and $y\text{-}$intercept for each equation. Recall that the $x\text{-}$intercept happens when $y=0,$ and the $y\text{-}$intercept occurs when $x=0.$ From the graphs we can see that all the $y-$ intercepts are $4,$ so finding the $x\text{-}$intercept will be enough. Let's do this for Equation A. Hence, for this equation the $x\text{-}$intercept is $\text{-}16.$ We can do the same with the rest of the functions, and then match each of them with the corresponding graph.

Equation	$x\text{-}$intercept	Matches
a. $y=\frac{1}{4}x+4$	$\text{-}16$	Graph 4
b. $y=\frac{1}{2}x+4$	$\text{-}8$	Graph 3
c. $y=2x+4$	$\text{-}2$	Graph 1
d. $\text{-}\frac{2}{3}x+4$	$6$	Graph 2

1.   c. $y=2x+4$ $x$-intercept: $\text{-}2$	2.   d. $y=\text{-}\frac{2}{3}x+4$ $x$-intercept: $6$
3.   b. $y=\frac{1}{2}x+4$ $x$-intercept: $\text{-}8$	4.   a. $y=\frac{1}{4}x+4$ $x$-intercept: $\text{-}16$