How Do You Find the Equation of a Line Given the Slope and y-intercept?

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run. The slope is basically the change in the y direction divided by the change in the x direction. The slope formula refers to the formula used to calculate the steepness of a line and determines how much it’s inclined. instead of the slope formula, you can use the slope calculator will show you how to find a line’s equation from any two locations through which it passes. This slope formula calculator is an amazing tool that can help you to write the slope equation and you can also do the slope related calculations for free.

What is the slope-intercept form?

A relationship between the vertical (y-axis) and horizontal (x-axis) positions of each of the points that contribute to the line can be stated mathematically for every line on a flat plane. y = [something with x] in the slope equation calculator formula for this relationship. The type of line we have will be determined by the slope finder equation the exact form of [something with x]. A parabola, often known as a quadratic function, is y = x2 + x, for example. A straight-line relationship, on the other hand, is y = MX + b (with m and b being any real values).

Types of Slope:

There are four different types of slope that all depend on the direction of the line and can be calculated by using a graphing calculator.

  • Positive Slope
  • Negative Slope
  • Zero Slope
  • Undefined Slope

The slope or gradient of a vertical line is indeterminate. You may use the slope finder equation to find both the X-intercept and the y-Intercept from provided coordinates. Try out this best midpoint calculator online, which allows you to find the slope of the line and midpoint of a line segment while also providing step-by-step instructions. In addition, the calculator-online free slope intercept form calculator can be used to find slope-intercept form equations from provided coordinates.

We will just focus on the straight line in this equation through  slope from two points calculator, however, those interested in learning more about the parabolic function should not be concerned. The parabola calculator and the quadratic formula calculator are two specific calculators specialized through slope finder equation. There is a detailed description of these functions there! You may also use our average rate of change calculator to determine the relationship between non-linear function variables.

Slope Formulas:

Wondering about what is the slope formula? Do not worry at all as we will be mentioning them right below. Now you could easily determine the slope finder graph online by subjecting to the following equation to find the slope:

Slope (m) =ΔYΔX


Slope (m) =y2–y1x2–x1

In this slope equation;


ΔY= (y2–y1)


This best y-intercept calculator also goes for using the same slope finder formula to compute the value of the steepness of they line in a fragment of seconds.