For f(x) to be zero, we have the following relation:
[tex]\begin{gathered} f(x)=\frac{8}{7}x-8 \\ f(x)=0\Rightarrow\frac{8}{7}x-8=0 \end{gathered}[/tex]
Solving for x:
[tex]\begin{gathered} \frac{8}{7}x-8=0 \\ \frac{8}{7}x=8 \\ \frac{x}{7}=1 \\ x=7 \end{gathered}[/tex]
The x-intercept is the point at which the graph crosses the x-axis, which is also the solution for the equation "f(x) = 0".
The zero of a function is any replacement for the variable that will produce an answer of zero, which again, is also the solution of "f(x) = 0" and the x-intercept.
The answer for all of them is the same, x = 7.
