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Input the required parameters into the calculator and it will readily calculate the equation of the line in slope-intercept form.

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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.

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.

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

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.

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

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

Slope of the line = m = 2 y-intercept = c = 5

The slope intercept form of linear equations is:

**m = 2 **and **c = 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.

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 |
Slope intercept form y = 4x+4
y + 4 = 4 (x+2) y + 4 = 4x+8 y = 4x+8-4 y = 4x+4 |

Slope = m= ?, points are (5,-5) |
m = 1
solve for slope "m" m = 0 – 5 /-5 – 0 m = -5 /-5 m = 1 |

Slope = m = 5 y-intercepts form = 8 Find the equation |
y = 5x + 8
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 |
y =9
= 2(0-1) ^2 + 5 = 2(-1) ^2 + 5 = (-2) ^2 + 5 = 4 + 5 = 9 |

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)

- 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

- 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

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

- 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).

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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