Question

Use the Line Tool to graph the function. f(x)=1/2x−3

Answer 1

The graph in the attached figure

Step-by-step explanation:

we have

`f(x)=(1)/(2)x-3`

This is the equation of a line in slope intercept form

we know that

To graph a line we need tow points

Find the intercepts

Find the y-intercept

The y-intercept is the value of the function when the value of x is equal to zero

For x=0

`f(0)=(1)/(2)(0)-3`

`f(0)=-3`

The y-intercept is the point (0,-3)

Find the x-intercept

The x-intercept is the value of x when the function is equal to zero

For f(x)=0

`0=(1)/(2)x-3`

`x=6`

The x-intercept is the point (6,0)

Plot the intercepts and joint the points to graph the line

The graph in the attached figure