Exercise 19 Page 158

Equations written in slope-intercept form follow a specific format. In this form, $m$ represents the slope of the line and $b$ represents the $y\text{-}$intercept.

Writing the Equation in Slope-Intercept Form

Since the given equation is not in slope-intercept form, let's rewrite it. We can highlight the slope $m$ and $y\text{-}$intercept $b$ of our equation so that it will be easier to create the graph. The slope is $5$ and the $y\text{-}$intercept is $\text{-}10.$

Graphing the Equation

A slope of $5$ means that for every $1$ unit we move in the positive horizontal direction, we move $5$ units in the positive vertical direction. To graph the equation, plot the $y\text{-}$intercept and then use the slope to find another point on the line.

Identify the $x\text{-}$intercept

Now that we have graphed the given function, we can use our graph to identify the $x\text{-}$intercept. This is the point at which the line intercepts the $x\text{-}$axis.

The line crosses the axis at $(2,0)$ so the $x\text{-}$intercept is $2.$