Slope formula
The slope formula is:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on a line. The slope (m) represents the rate of change or steepness of the line.
The slope formula is a mathematical equation used to calculate the steepness or inclination of a straight line. It is represented as:
m = (y2 - y1) / (x2 - x1)
where,
m represents the slope,
(x1, y1) and (x2, y2) represent two distinct points on the line.
To find the slope, plug the coordinates of the two points into the formula, subtract the y-values, then divide that result by the difference of the x-values.
The slope formula is used to calculate the slope or gradient of a straight line when you know the coordinates of any two points on that line. The formula is:
m = (y₂ - y₁) / (x₂ - x₁)
Where:
m represents the slope or gradient of the line,
(x₁, y₁) are the coordinates of the first point, and
(x₂, y₂) are the coordinates of the second point.
To use the slope formula:
1. Identify the coordinates of the two points on the line.
2. Substitute the values into the formula.
3. Subtract the y-coordinates of the two points (y₂ - y₁).
4. Subtract the x-coordinates of the two points (x₂ - x₁).
5. Divide the difference in y-coordinates by the difference in x-coordinates.
6. Simplify the fraction and express the slope either as a whole number, decimal, or fraction.
For example, let's find the slope of a line passing through the points (2, 4) and (6, 10):
m = (10 - 4) / (6 - 2)
= 6 / 4
= 3/2
So, the slope of the line is 3/2 or 1.5.