Exercise 59 Page 180

To solve the equation $0=12x-48$ by graphing, we have to identify the related function. Since the left-hand side of the equation is equal to $0,$ we can consider the right-hand side as the function. The $x\text{-}$intercept of the graph of $f(x)$ is the solution to our equation. To graph this function, let's make a table.

$x$	$f(x)=12x-48$	$f(x)$	$\left(x,f\left(x\right)\right)$
$0$	$f(0)=12(0)-48$	$\text{-}48$	$(0,\text{-}48)$
$2$	$f(2)=12(2)-48$	$\text{-}24$	$(2,\text{-}24)$

Now we can plot the points and connect them using a straight edge.

The graph intercepts the $x\text{-}$axis at $x=4.$ This is our solution. We can verify this algebraically by substituting $x=4$ into the equation.

$0=12x-48$

Substitute

$x=4$

$0\stackrel{?}{=}12(4)-48$

Multiply

Multiply

$0\stackrel{?}{=}48-48$

SubTerm

Subtract term

$0=0✓$