Answer:
x-intercept: x=100
y-intercept: y=100
Step-by-step explanation:
So we have the function:"
[tex]K(x)=-x+100[/tex]
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:
[tex]0=-x+100[/tex]
Subtract 100 from both sides:
[tex]-100=-x[/tex]
Divide both sides by -1:
[tex]x=100[/tex]
So, the x-intercept is at x=100 at the point (100,0)
Similarly, to find the y-intercept, substitute 0 for x:
[tex]K(x)=-(0)+100[/tex]
Simplify:
[tex]K(x)=100[/tex]
So, the y-intercept is at:
[tex](0,100)[/tex]
And we're done!
