Chapter 8.3, Problem 1C

To determine

To find:

The intercepts of theequation’s graph. Then graph the equation.

Answer to Problem 1C

x -intercept: $(-2,0)$

y -intercept: $(0,1)$

Explanation of Solution

Given:

An equation: $x-2y=-2$

Calculation:

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

  $\begin{array}{l}x-2y=-2\left(\text{Given equation}\right)\\ x-2(0)=-2\left(\text{Substituting }y=0\right)\\ x-0=-2\\ x=-2\end{array}$

Therefore, the x -intercept of our given equation is $(-2,0)$ .

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

  $\begin{array}{l}x-2y=-2\left(\text{Given equation}\right)\\ 0-2y=-2\left(\text{Substituting }x=0\right)\\ -2y=-2\\ \frac{-2y}{-2}=\frac{-2}{-2}\\ y=1\end{array}$

Therefore, the y -intercept of our given equation is $(0,1)$ .

Upon graphing our given equation, we will get our required graph as shown below: