Chapter 8, Problem 7PT

To determine

To graph: the given equation by plotting ordered pairs.

Answer to Problem 7PT

  

Explanation of Solution

Given:

Consider the equation: $y=-2x+3$

Calculation:

Step 1: Put the value of $y=0$ to find the x -intercept

  $0=-2x+3$

Subtract both sides of equation by 3.

  $\begin{array}{c}0-3=-2x+3-3\\ -3=-2x\end{array}$

Divide both sides of equation by $-2$

  $\begin{array}{c}\frac{-3}{-2}=\frac{-2x}{-2}\\ \frac{3}{2}=x\end{array}$

Since, when $x=\frac{3}{2}$ then ordered pair is $\left(\frac{3}{2},0\right)$

Step 2: Now, put the value of $x=0$ to find the y-intercept

  $\begin{array}{c}y=-2\left(0\right)+3\\ =3\end{array}$

Since, when $y=3$ then ordered pair is $\left(0,3\right)$

Step 3 Plot the points and draw the line

  

Conclusion:

Therefore, graph of the equation $y=-2x+3$ is shown.