Slope Intercept Form Calculator

The slope intercept form calculator finds the equation of the straight line based on the given two points, one point, or the intercept & slope data.

With it, you can also find the slope and y-intercept of any linear equation, enhancing precision and bringing clarity in your mathematical calculations.

What Is Slope Intercept Form?

The slope intercept form of the linear equation is y = mx + c that is constructed with y-intercept and slope of the line “m”.

This form of the linear equations is known as the slope intercept form. The slope signifies the degree of incline or steepness of a line.

Slope Intercept Formula:

The formula that is used to find the slope intercept form equation is outlined below:

y = mx+c

Where:

m = Slope of line
x = x- coordinate of the line
y = y-coordinate of the line
c = y-intercept of the line

The “m” is the change in y and along with the x coordinates at any point of intersection of “x” and “y”

You can also find the x-intercept of a line with the help of the above formula. The x-intercept is the value of the x at which the line crosses the x-axis.

How To Find The Slope Intercept Form (Equation of A Straight Line)?

Follow the below mentioned example to find the equation of slope intercept:

Practical Example:

Find the slope intercept form of the line with a slope is “2” and the y-intercept “5”.

Solution:

Step 1:

Slope of the line = m = 2

y-intercept = c = 5

Step 2:

The slope intercept form of linear equations is:

y = mx+c

m = 2 and c = 5

⇒ y = 2x +5

By putting the given values in slope intercept formula you will get the slope intercept form equation in which y = 2x + 5.

Graph of y = 2x + 5
Example

Also, consider this simple slope calculator that finds the slope of a line passing through the two given points.

Keep in mind that all equations are not the same, some formulas describe curves that may never intercept the y-axis, the x-axis, or both of them.

Examples of Slope-Intercept Form:

In the following table, we have provided some examples so that you can easily understand how you can write the linear equations in slope intercept form.

Questions	Results
Points(-2,-4) has a slope of 4	Answer slope intercept form y = 4x+4 Step-by-step solution: y + 4 = 4 (x+2) y + 4 = 4x+8 y = 4x+8-4 y = 4x+4
Slope = m= ?, points are (5,-5)	Answer m = 1 Step-by-step solution: solve for slope “m” m = 0 – 5 /-5 – 0 m = -5 /-5 m = 1
Slope = m = 5 y-intercepts form = 8 Find the equation	Answer y = 5x + 8 Step-by-step solution: Now substitute the values of “m” and “c” to find the slope intercept form y = mx + b equation of slope intercept = y = 5x + 8
Find “c”=? of equation 2(0-1) ^2 + 5	Answer y =9 Step-by-step solution: = 2(0-1) ^2 + 5 = 2(-1) ^2 + 5 = (-2) ^2 + 5 = 4 + 5 = 9

How To Find Slope Intercept Form With Calculator?

Let’s follow these steps to change the linear equations into slope intercept form instantly!

Inputs:

You have three options to do calculations including:

Two points
One point and slope (m)
Intercept (c) & slope (m)

Well, come to the point:

First of all, you have to choose one of the given options
Very next, you need to enter the remaining missing values into the designated fields according to the selected options for finding the slope intercept form
Once done, the time comes to hit the calculate button

Output:

The calculator helps to find:

Slope intercept form of linear equations
The slope of a line
the x-intercept & y-intercepts of the line
Percentage Grade
The angle of a line with the x-axis
Change in x (Δx) and change in y (Δy)
Distance between two points

FAQ’s:

Is Slope Intercept Form The Same As Standard Form?

No, because they are two different ways of defining a straight line.

Slope intercept form equation = y = mx +b
Standard form = Ax + By + C = 0

How Do You Find The Slope Between Two Points?

To find the equation of a line having two points, follow the below-mentioned steps:

Determine the slope using the following formula, m = (y₂ – y₁) / (x₂ – x₁)
After that use the point-slope to get the equation of the straight line as below:
y – y₁ = m(x₂ – x₁).

References:

From the source of khanacademy: Intro to slope-intercept form (Explore Now)

From the source of ixl (learning): Slope-intercept form: write an equation from a graph

From the source of ck12: Slope-Intercept Form of Linear Equations (Explore equations in y = mx+b form)