When you have an equation drawn in a graph, in order to find the x-intercept (intercept on the x axis) and the y-intercept (intercept on the y axis), you need to do the following:
x-intercept: you need to find the value of x where the value of the function is zero.
For example, If you have the function y = ax + b, the x-intercept would be:
[tex]y=0\to0=ax+b\to x=\frac{-b}{a}[/tex]y-intercept: you need to find the value of y (or the value of the function) where the value of x is zero. For example, for the function y = ax +b, the y-intercept is:
[tex]x=0\to y=a\cdot0+b\to y=b[/tex]In the examples given (linear equations), the x-intercept is the point (-b/a, 0) and the y-intercept is the point (0, b).
