Use the slope calculator to do the following:
 Calculate the slope of a line that passes through 2 points
 Solve a coordinate given the slope and distance from a point
 Find the x or y of a point given another point and the slope
 Find the slope intercept form of a line.
How to Find Slope of a Line Given 2 Points
Slope is the angle of a line on a graph and can be found by comparing any 2 points on the line. A point is an x and y value of a cartesian coordinate on a grid. Slope, often represented as m, can be found using the following formula:
Slope (m) 
= 
(y_{2} – y_{1}) 
(x_{2} – x_{1}) 

To find slope, start by finding x and y values of 2 different points along the line. x is the horizontal distance of the point from the vertical y axis and y is the vertical distance of the point from the horizontal x axis.
For example, for a line that passes through the points (7,3) and (12,7) the formula to find slope would look like this:
To solve:
Using Slope Intercept Form
A linear line can be expressed using the slope intercept form, which is an equation representing the line. The equation of a linear line can be expressed using the formula y = mx + b where m is the slope of the line and b is the yintercept value. The slope intercept form can be solved using the slope of a line and one point on the line.
For example, given a slope of 1/2 and a point (5,4), solve for b.
Substitute the slope for m:
Substitute the point values for x and y:
Solve for b:
Substitute b in the equation to get the slope intercept form:
Find a Point Given 1 Point, Slope, and Distance
Points on a line can be solved given the slope of the line and the distance from another point. The formulas to find x and y of the point to the right of the point are:
The formulas to find x and y of the point to the left of the point are:
Converting Slope to Angle
The angle of a line in degrees can be found from the inverse tangent of the slope (m).
θ = tan^{1}(m)
For example, if slope = 5, then the angle in degrees is tan^{1}(5).
Our angle unit conversion calculator can help convert the angle measurement from degrees to radians or grad.
Converting Angle to Slope
An angle in degrees can also be converted to a slope. Slope is equal to the tangent of the angle.
m = tan(θ)
For example, if angle = 72, then the slope is equal to tan(72).
Finding the Distance Between 2 Points
The formula to find the distance (d) between 2 different points is:
d = √((x_{2} – x_{1})^{2} + (y_{2} – y_{1})^{2})
Solving the Delta of x and y
The delta of x and y, expressed using the symbol Δ, is simply the absolute value of the distance between the x values or y values of 2 points.
The delta of x can be solved using the formula Δx = x_{2} – x_{1}.
The delta of y can be solved using the formula Δy = y_{2} – y_{1}.