Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line’s steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
- A line is increasing, and goes upwards from left to right when m > 0
- A line is decreasing, and goes downwards from left to right when m < 0
- A line has a constant slope, and is horizontal when m = 0
- A vertical line has an undefined slope since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope Calculator Solutions
Input two points using numbers, fractions, mixed numbers or decimals. The slope calculator shows the work and gives these slope solutions:
- Slope m with two points
- Graph of the line for y = mx + b
- Point Slope Form y – y1 = m(x – x1)
- Slope Intercept Form y = mx + b
- Standard Form Ax + By = C
- y-intercept, when x = 0
- x-intercept, when y = 0
