1 Answer

Braian Silva · Answer 1 · 2023-08-05T21:52:24+0000

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:

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