Graph f(x) = -2/3x-3

Answer:
The required graph is shown below.
Step-by-step explanation:
Consider the provided function.
[tex]f(x) = -\frac{2}{3}x-3[/tex]
The above function is a linear function.
The graph of a linear function is a straight line.
To draw the graph, find any two points which satisfy the equation and draw a line passing through these points.
Substitute x = 0 in above function.
[tex]y= -\frac{2}{3}(0)-3[/tex]
[tex]y=-3[/tex]
Coordinate which satisfy the function (0,-3)
Substitute y = 0 in above function.
[tex]0= -\frac{2}{3}x-3[/tex]
[tex]\frac{2}{3}x= -3[/tex]
[tex]x= -3\times \frac{3}{2}[/tex]
[tex]x= -\frac{9}{2}[/tex]
[tex]x= -4.5[/tex]
Coordinate which satisfy the function (-4.5,0)
Draw a straight line passing through the points (0.-3) and (-4.5,0).
The required graph is shown below.