Chapter 8, Problem 11CR

To determine

To find:

The intercepts of theequation’s graph.

Answer to Problem 11CR

The x-intercept of our given equation would be $-1$ .

The y-intercept of our given equation would be $-5$ .

Explanation of Solution

Given:

An equation:

  $20x+4y=-20$

Calculation:

To find x-intercept, we will substitute $y=0$ in our given equation and solve for x as shown below:

  $\begin{array}{l}20x+4y=-20\left(\text{Given equation}\right)\\ 20x+4(0)=-20\left(\text{Substituting }y=0\right)\\ 20x+0=-20\\ 20x=-20\\ \frac{20x}{20}=\frac{-20}{20}\left(\text{Dividing both sides by 20}\right)\\ x=-1\end{array}$

Therefore, the x-intercept of our given equation is $-1$ .

To find y-intercept, we will substitute $x=0$ in our given equation and solve for y as shown below:

  $\begin{array}{l}20x+4y=-20\left(\text{Given equation}\right)\\ 20(0)+4y=-20\left(\text{Substituting }x=0\right)\\ 0+4y=-20\\ 4y=-20\\ \frac{4y}{4}=\frac{-20}{4}\\ y=-5\end{array}$

Therefore, the y-intercept of our given equation is $-5$ .