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Slope Calculator

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The slope of a line gives an outline of the steepness of a line of the given two points. The slope calculator determines how steep is the straight line. Plug in the coordinates of the two points say ($x_1$, $y_1$) and ($x_2$, $y_2$) into the calculator. The slope of the line is calculated by the formula,
Slope of the line, m = $\frac{y_2 - y_1}{x_2 - x_1}$.

You can also find the slope of the line from the equation. If the equation of line is in the form of y = mx + b, then the slope of the line(m) is the coefficient of x value.

Steps to Find the Slope of a Line

Steps to find the slope of a line from the given points.

Step 1: Jot down the given coordinates of the two points from the problem.

Step 2: Substitute the coordinate values into the formula and get the slope of the line.
m = $\frac{y_2 - y_1}{x_2 - x_1}$

Steps to find the slope of a line from the given equation.

Step 1: Jot down the given equation from the problem.

Step 2: Simplify the given equation into the line equation form, y = mx + b.  The coefficient of x value is the slope of the line.

Slop of a Line Solved Problems

Problems are given below based on slope.

Solved Examples

Question 1: Find the slope of the line of the two points (-4, 2) and (0, 3).
Solution:

Step 1 : Given coordinates :
$x_1$ = -4 ; $y_1$ = 2 ; $x_2$ = 0 ; $y_2$ = 3

Step 2 : Slope of the line, m = $\frac{y_2 - y_1}{x_2 - x_1}$
m = $\frac{3 - 2}{0 - (-4)}$
m = $\frac{1}{4}$

Therefore, the slope of the line is $\frac{1}{4}$.

Question 2: Find the slope of 2x + 2y - 4 = 0.
Solution:

Step 1 : Given equation : 2x + 2y - 4 = 0

Step 2 : Simplifying the equation, we get
2x + 2y - 4 = 0
2y = -2x + 4
y = -x + 2

It is in the form of y = mx + b.

Therefore, slope of the line m = -1.