Question

Graph the equation after plotting at least three points. Y= -2/3x+4

Answer 1

Given the function:

`y=-(2)/(3)x+4`

It's required to graph the function by joining at least 3 points.

Let's select the points x = -3, x = 3, and x = 9.

Substituting x = -3:

`y=-(2)/(3)\cdot(-3)+4`

Operating:

`\begin{gathered} y=-(-6)/(3)+4 \\ y=2+4 \\ y=6 \end{gathered}`

The first point is (-3,6)

Substitute x = 3:

`y=-(2)/(3)\cdot3+4`

Calculating:

`\begin{gathered} y=-(6)/(3)+4 \\ y=-2+4 \\ y=2 \end{gathered}`

The second point is (3,2)

Now for x = 9:

`\begin{gathered} y=-(2)/(3)\cdot9+4 \\ y=-(18)/(3)+4 \\ y=-6+4 \\ y=-2 \end{gathered}`

The third point is (9,-2).

Plotting the three points and joining them with a line, we get the following graph: