Question

I need help figuring out how to write my graph and finding out the answers

Answer 1

yGiven a linear equation in two variables: y = -4x - 3.

We have to find five ordered pairs which satisfy the given linear equation.

When x = -2.

$\begin{gathered} y=-4(-2)-3 \\ y=8-3 \\ y=5 \end{gathered}$

Thus, the first ordered pair is (-2,5)

At x = -1.

$\begin{gathered} y=-4(-1)-3 \\ y=4-3 \\ y=1 \end{gathered}$

Thus, the second ordered pair is (-1,1).

At x = 0.

$\begin{gathered} y=-4(0)-3 \\ y=0-3 \\ y=-3 \end{gathered}$

Thus, the third ordered pair is (0,-3).

At x = 1.

$\begin{gathered} y=-4(1)-3 \\ y=-4-3 \\ y=-7 \end{gathered}$

Thus, the fourth ordered pair is (1,-7).

At x = 2.

$\begin{gathered} y=-4(2)-3 \\ y=-8-3 \\ y=-11 \end{gathered}$

Thus, the fifth ordered pair is (2,-11).