X and Y Intercept Calculator
Find where a line crosses the x- and y-axes from two points, a point and slope, the slope and intercept, or standard form.
Change the values and press Calculate to work out your own figures.
From two points
Enter two points on the line.
Show the working
- m = (y₂ − y₁) ÷ (x₂ − x₁) = (5 − 4) ÷ (7 − 3)
- Slope m = 1/4
- y-intercept b = 13/4
From a point and the slope
Enter a point and the slope.
Show the working
- Through (3, 4) with slope 1/4
- Slope m = 1/4
- y-intercept b = 13/4
From the slope and y-intercept
Enter the slope and the y-intercept.
Show the working
- Slope 2, crossing the y-axis at -3
- Slope m = 2
- y-intercept b = -3
From Ax + By = C
Enter A, B and C.
Show the working
- 2x + 3y = 6
- Slope m = -2/3
- y-intercept b = 2
How to use it
Enter two points on the line. Enter a point and the slope. Enter the slope and the y-intercept. Enter A, B and C.
Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.
Key facts
x-intercept: y = 0; y-intercept: x = 0
Horizontal and vertical lines
A horizontal line (other than y = 0) never meets the x-axis; a vertical line never meets the y-axis.
Questions
Intercepts of 2x + 3y = 6?
(3, 0) and (0, 2).
Of y = 2x − 3?
(3/2, 0) and (0, -3).
Formulas
x-intercept: y = 0; y-intercept: x = 0
Sources
Limitations
- Vectors have two or three components (leave z blank for 2-D).
- Earth distances assume the WGS 84 ellipsoid (sea level).