If a straight line cuts the x-axis at A and y-axis at B, then OA with proper sign is called x-intercept and OB with proper sign is called the y-intercept made by the straight line.
They are usually denoted by a and b respectively and called as x and y intercepts.
Here in this following x y intercepts example,
(a) Both the intercepts OA, OB are positive;
(b) x-intercept is negative and y-intercept is positive;
(c) Both the slope intercept forms are negative;
(d) x-intercept is positive and y-intercept is negative.
The x-intercept is a $\Leftrightarrow$ the line passes through (a, 0)
The y-intercept is b $\Leftrightarrow$ the line passes through (0, b)
Example for x y intercepts for finding the vertex of a parabola: If the x-intercept is 4, the line passes through the point (4, 0) and if the Y-intercept is -8, the line passes through the point (0,-8). Again if a line passes through the point (-3, 0), then the x-intercept is -3.
The x y intercepts calculator aids students to calculate the x and y intercepts for a given equation of a line. Instead of the manual calculation , the students can enter the values in the equation and the calculator would be automatically returning the values of x and y co-ordinates for them.
Here is one example showing manual computation of x and y intercept values: