Question

(only question 7)complete the table. use the ordered pairs to graph the line

Answer 1

To complete the table, choose the x values and substitute them in the equation. Then, solve the equation and find y.

Step 01: x = -5.

`\begin{gathered} y=-(4)/(5)x-2 \\ y=-(4)/(5)\cdot(-5)-2 \\ y=(-4\cdot(-5))/(5)-2 \\ y=(20)/(5)-2=4-2 \\ y=2 \end{gathered}`

Step 02: x = 0.

`\begin{gathered} y=-(4)/(5)x-2 \\ y=-(4)/(5)\cdot0-2 \\ y=0-2 \\ y=-2 \end{gathered}`

Step 03: x = 5.

`\begin{gathered} y=-(4)/(5)x-2 \\ y=-(4)/(5)\cdot5-2 \\ y=(-4\cdot5)/(5)-2_{} \\ y=-(20)/(5)-2 \\ y=-4-2 \\ y=-6 \end{gathered}`

Step 04: Complete the table.

x | y

-5 | 2

0 | -2

5 | -6

And finally, plot the points and connect them to find the equation: