Slope-Intercept Form Calculator with Two Points

Find the slope-intercept form of a line step by step

The slope-intercept form calculator will find the slope of the line passing through the two given points, its y-intercept, and the slope-intercept form of the line, with steps shown.

Related calculators: Line Calculator, Slope Calculator, Parallel and Perpendicular Line Calculator

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Discover our Slope Intercept Form calculator, specially designed to quickly deliver the slope-intercept equation using two points. In addition, this tool also shows basic information about the line. It is ideal for students, educators, or math fans.

How to Use the Slope-Intercept Form Calculator with Two Points?

• Input

Start by entering the coordinates of your first point into the designated fields. Repeat this step for your second point.

• Calculation

After ensuring your points are accurately inputted, click the "Calculate" button to initiate the computation process.

• Result

Once processed, the calculator will display the slope of the line formed by your two points, as well as the x-intercept, the y-intercept and the equation of the line.

What is the Slope Intercept Form?

The slope-intercept form is a special form of the equation of a straight line. It is one of the most commonly used linear equations because of its straightforwardness in expressing both the slope of the line and its y-intercept.

The slope-intercept form of the equation is given by the following formula:

$$y=mx+b,$$

where:

• $y$ is the dependent variable, typically representing the vertical coordinate.
• $x$ is the independent variable, typically representing the horizontal coordinate.
• $m$ is the slope of the line. It defines the rate of change of $y$ with respect to $x$. In geometric terms, the slope represents the rise over the run, or how much $y$ changes per unit change in $x$.
• $b$ is the y-intercept. This is the point where the line crosses the y-axis. In simpler terms, it's the value of $y$ when $x$ is zero.

This equation provides valuable information about the line it represents:

• Slope $(m)$: The slope measures how steep the line is. It is the "rise" over the "run", mathematically represented as the change in the $y$ over the change in the $x$.

The formula for the slope, given two points $\left(x_1,y_1\right)$ and $\left(x_1,y_1\right)$ is

$$m=\frac{y_2-y_1}{x_2-x_1}$$