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.
[tex]\begin{gathered} y=-\frac{4}{5}x-2 \\ y=-\frac{4}{5}\cdot(-5)-2 \\ y=\frac{-4\cdot(-5)}{5}-2 \\ y=\frac{20}{5}-2=4-2 \\ y=2 \end{gathered}[/tex]
Step 02: x = 0.
[tex]\begin{gathered} y=-\frac{4}{5}x-2 \\ y=-\frac{4}{5}\cdot0-2 \\ y=0-2 \\ y=-2 \end{gathered}[/tex]
Step 03: x = 5.
[tex]\begin{gathered} y=-\frac{4}{5}x-2 \\ y=-\frac{4}{5}\cdot5-2 \\ y=\frac{-4\cdot5}{5}-2_{} \\ y=-\frac{20}{5}-2 \\ y=-4-2 \\ y=-6 \end{gathered}[/tex]
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:
