Question

Complete the table for each equation and graph b) y=7-3x

Answer 1

To complete the table, choose 4 values of x and plug them into the given equation. For example, if you take x = 0, x = 2, x = 3, x = 5, x = 8 you have

`\begin{gathered} \text{ If x = 0} \\ y=7-3x \\ y=7-3(0) \\ y=7-0 \\ y=7 \\ \text{ So you have the point} \\ (0,7) \end{gathered}`
`\begin{gathered} \text{ If x = 2} \\ y=7-3x \\ y=7-3(2) \\ y=7-6 \\ y=1 \\ \text{ So you have the point} \\ (2,1) \end{gathered}`
`\begin{gathered} \text{If x = 3} \\ y=7-3x​ \\ y=7-3(3) \\ y=7-9 \\ y=-2 \\ \text{ So you have the point} \\ (3,-2) \end{gathered}`
`\begin{gathered} \text{ If x = 5} \\ y=7-3x​ \\ y=7-3(5) \\ y=7-15 \\ y=-8 \\ \text{ So you have the point} \\ (5,-8) \end{gathered}`
`\begin{gathered} \text{If x = 8} \\ y=7-3x​ \\ y=7-3(8) \\ y=7-24 \\ y=-17 \\ \text{ So you have the point} \\ (8,-17) \end{gathered}`

Then graphing the points and joining them, you obtain the line that represents the given equation