Question

F(x) = 3/2x - 12
what are the x and y intercepts?

Answer 1

x intercept= 8 y intercept= -12

Explanation:

First, let's define the x and y intercepts. The point where x is 0 means the graph touches the y-axis is known as the y-intercept so the coordinates of an intercept would be (0,y). The opposite is with the x-intercept. The point where the graph touches the x-axis is known as the x-intercept where y is 0 so the coordinates would be (x,0). So keeping this in mind, to find the y-intercept we can plug x as 0 as on that point it is touching the y axis so x is 0 (refer to attachment):

y= 3/2x - 12 (f(x) is domain it changes with x so it is same thing as y)

y= 3/2(0) -12= -12

So the graph touches the y-axis a -12

As mentioned earlier the point where the graph touches the x-axis is known as the x-intercept so we would equate y=0

0=
`(3)/(2)x` - 12

(3x-24)/2=0

3x-24=0

3x=24

x=24/3 =8

So the graph touches the axis at 8

Answer 2

x-intercept = 8 y-intercept = -12

Explanation:

To find the x-intercept:

(0) = 3/2x - 12 + 12

12 = 3/2x (2/3)

= 8

The y-intercept is -12.

Where did you y-intercept?

The y-intercept is already shown in the equation.

I hope this helps!