Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:  

we have

$f(x)=\frac{1}{2}x-3$

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

$f(0)=\frac{1}{2}(0)-3$

$f(0)=-3$

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

$0=\frac{1}{2}x-3$

$x=6$

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