Question

Graph the function h(x)=. I have a picture of the problem

Answer 1

Let's begin by listing out the given information

`\begin{gathered} h(x)=-(2)/(3)x-2 \\ h(x)=y \\ y=-(2)/(3)x-2 \end{gathered}`

We will graph the function by assuming values for the independent variable (x = -3, 0, 3

`\begin{gathered} y=-(2)/(3)x-2 \\ x=-3 \\ y=-(2)/(3)(-3)-2=2-2=0 \\ (x,y)=(-3,0) \\ x=0 \\ y=-(2)/(3)(0)-2=0-2=-2 \\ (x,y)=(0,-2) \\ x=3 \\ y=-(2)/(3)(3)-2=-2-2=-4 \\ (x,y)=(3,-4) \end{gathered}`

We will plot the ordered points (shown below)