Chapter 8, Problem 19MCQ

To determine

To calculate: To graph the equation

Answer to Problem 19MCQ

Graph of equation is sketched

Explanation of Solution

Given information:Equation is $y=3x-4$

Formula Used:

Ordered Pair: An ordered pair is a composition of the x-coordinate and the y-coordinate and is written as $\left(x,y\right)$

Calculation:

Equation is given as follows:

  $y=3x-4$

In order to find the solutions of above equation:

When $x=0$

  $\begin{array}{l}y=3\left(0\right)-4\\ y=0-4\\ y=-4\end{array}$

When $x=1$

  $\begin{array}{l}y=3\left(1\right)-4\\ y=3-4\\ y=-1\end{array}$

When $x=2$

  $\begin{array}{l}y=3\left(2\right)-4\\ y=6-4\\ y=2\end{array}$

Thus, solutions of equation in ordered pair are $\left(0,-4\right),\left(1,-1\right),\left(2,2\right)$

Plotting the points to graph the equation:

  

Conclusion:

Hence, graph of equation is sketched.