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To find the slope of a straight line, enter the coordinates of the points in the slope formula calculator.
This slope finder is an online tool that helps its users in computing the slope of a line using two points. In the result section of slope calculator, one can also find slope graphs and slope angles.
What is a Slope?
Slope and gradient are two names for one thing and that is “rise over run”. In simple words, change in the y-axis is divided by change in the x-axis.
A slope gives information about the line. It tells us if the value of x is increased by “1”, by “how much” the value of y will increase. The slope is usually represented by m.
The formula of the slope is:
m = Δy/Δx = y2 - y1 / x2-x1
- y is the position of the point on the y-axis.
- x is the position of a point on the x-axis.
Types of slope
In mathematics, there are four types of slope and all of these types can be calculated by using this slope calculator.
- Positive Slope
- Negative Slope
- Zero Slope
- Undefined Slope
In this type of slope, the line of the graph goes upward as x increases. For example, when a person moves upward to the right then the slope of the line is positive. The result of this type of slope is always greater than zero (m > 0).
In a negative slope, the line of the graph goes downward. For example, when a person moves downward to the right then the slope of the line is negative. The answer of the negative slope is less than zero (m < 0).
A horizontal line in a graph denotes the zero slope. It is denoted by m=0. The value of the y coordinate (rise) is zero in this type of slope.
A vertical line on a graph denotes an undefined slope. In this type of slope, m is undefined. The value of x coordinate (run) is zero in an undefined slope.
How to find a Slope?
A straight line exists in the cartesian plane. The two points of the line are (2,4) and (7,5). Find the slope of a line using these points.
Step 1: Identify the points.
X1 = 2
X2 = 7
Y1 = 4
Y2 = 5
Step 2: Use the values in the formula.
m = (y2 - y1)/(x2 - x1)
m = (5 - 4)/(7 - 2)
m = 1/5
m = 0.2