Question

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

Answer 1

The required graph is shown below.

Explanation:

Consider the provided function.

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

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.

`y= -(2)/(3)(0)-3`

`y=-3`

Coordinate which satisfy the function (0,-3)

Substitute y = 0 in above function.

`0= -(2)/(3)x-3`

`(2)/(3)x= -3`

`x= -3* (3)/(2)`

`x= -(9)/(2)`

`x= -4.5`

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.