Slope Calculator
Slope Calculator is an online tool that helps to calculate the slope of a given line. The equation of a line can also be determined using the slope. The equation of a line is given by y = mx + c, where m represents the slope and c is the intercept.
What is Slope Calculator?
Slope Calculator helps to compute the slope of a straight line when the cartesian coordinates of two points on that line are known. The slope can be defined as the net change in the y coordinate with respect to the net change in the x coordinate. To use the slope calculator enter the values in the input boxes.
Slope Calculator
How to Use Slope Calculator?
Please follow the steps below to find the slope using the online slope calculator:
- Step 1: Go to Cuemath's online slope calculator.
- Step 2: Enter the coordinates of x and y in the given input box, i.e., (x1,y1) and (x2,y2).
- Step 2: Click on the "Calculate" button to find the slope.
- Step 3: Click on the "Reset" button to clear the fields and enter new values.
How to Find Slope?
The slope of a line is used to describe the steepness of that line with respect to a horizontal. It is also used to describe the direction of a line. To determine the slope of a line between any two distinct points we need to calculate the ratio of the vertical change with respect to the horizontal change. The slope of a line can be both negative and positive.
- Positive slope - This indicates that the line is increasing. It goes in the upward direction from left to right.
- Negative slope - This indicates that the line is decreasing. It goes in the downward direction from left to right.
- Zero slope - This indicates that the function is a constant. A line with a zero slope will be parallel to the x-axis.
- Undefined slope - If the slope of a line is undefined it will be parallel to the y axis.
The standard form for the slope given two points A(\(x_{1}\), \(y_{1}\)) and B(\(x_{2}\), \(y_{2}\)) is given below.
Slope = change in y /change in x = \(y_{2}\) - \(y_{1}\) / \(x_{2}\) - \(x_{1}\)
Solved Examples on Slope Calculator
Example 1:
Find the slope if the coordinates are (5,2) and (7,8) and verify it using the online slope calculator.
Solution:
slope = change in y/change in x
= \(y_{2}\) - \(y_{1}\) / \(x_{2}\) - \(x_{1}\)
= (8 - 2) / (7 - 5)
= 6 / 2
= 3
Example 2:
Find the slope if the coordinates are (12, -11) and (20,5) and verify it using the online slope calculator.
Solution:
slope = change in y/change in x
= \(y_{2}\) - \(y_{1}\) / \(x_{2}\) - \(x_{1}\)
= (5 - (-11)) / (20 - 12)
= 16 / 8
= 2
Similarly, you can try the online slope calculator to find the slope for the following:
- (5,32) (6,10)
- (-9,2) (6,11)
- (6,-12) (7,-8)