Slope Intercept Form Calculator
Input the required parameters into the calculator and it will readily calculate the equation of the line in slope-intercept form.
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 + b
Where:
- m = Slope of line
- x and y = Coordinates of a line
- d = 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. In some regions, (particularly in North America) it is common to use b for y-intercept but in some regions especially in UK, y-intercept is represented by 'c'.
y = mx + c
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
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)
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