Question

Question 1

4 pts
What are the x-and y-intercepts of Kx) = -x
+ 100?
x-intercept(s): x=
y-intercept(s): y =
If there is more than one intercept list least to greatest and use a
comma to separate them Ex: -4,2

Answer 1

x-intercept: x=100

y-intercept: y=100

Explanation:

So we have the function:"

`K(x)=-x+100`

To find the x-intercept, remember that the x-intercept is always on the x-axis. So, substitute y (or K(x)) for 0 to find the x-intercept:

`0=-x+100`

Subtract 100 from both sides:

`-100=-x`

Divide both sides by -1:

`x=100`

So, the x-intercept is at x=100 at the point (100,0)

Similarly, to find the y-intercept, substitute 0 for x:

`K(x)=-(0)+100`

Simplify:

`K(x)=100`

So, the y-intercept is at:

`(0,100)`

And we're done!