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Slope Intercept Form Calculator

Slope Intercept Form Calculator enumerates the equation of a line for a given slope and intercept. Slope-intercept form is the most widely used method to express the equation of a straight line. It is given in the form of a linear equation y= mx + c.

## What is Slope Intercept Form Calculator?

Slope-Intercept Form Calculator is an online tool that helps to calculate the equation of a line for a given slope and intercept. The slope-intercept form is used to describe the characteristics of a straight line even without looking at its graph. To use this slope intercept form calculator, enter the values of slope and intercept in the given input boxes.

### Slope Intercept Form Calculator

## How to Use Slope Intercept Form Calculator?

Please follow the steps below to find the equation of a line using an online slope intercept form calculator:

- Step 1: Go to online slope intercept form calculator.
- Step 2: Enter the slope and intercept in the given input box of the slope-intercept form calculator.
- Step 3: Click on the “Calculate” button to find the equation of a line.
- Step 4: Click on the “Reset” button to clear the fields and enter new values.

## How Slope Intercept Form Calculator Works?

The equation of a line can be defined as a relationship that all points lying on a particular line must satisfy. Further, points that do not lie on the line will not satisfy this equation. The equation of a line can be expressed in multiple forms. Some of them are point-slope form, two-point form, intercept form, normal form, and slope-intercept form. Out of all these representations, the slope-intercept form is the easiest to understand and fastest to use. There are certain terms associated with the slope-intercept form of a straight line that students must know. This gives them an in-depth understanding of the formula and how to apply it to sums. These terms are given below:

- Slope – The slope of a line is used to measure the steepness of a line with respect to a horizontal. It is usually represented by m.
- Intercept – The point where a line intersects with the axes is known as the intercept. In the slope-intercept form, we only need to know the y-intercept. b is used to represent the y axis intercept in the formula. It implies that b is the point where the straight line crosses the y axis.

The formula for the slope-intercept form of a line is given as:

y = mx + c.

## Solved Examples on Slope Intercept Form Calculator

Example 1:

Find the equation of a line with slope 3 and an intercept 5 and verify it using a slope-intercept form calculator.

Solution:

The general equation of the slope-intercept form is: y = mx + c.

⇒ y = 3x + 5

⇒ 3x – y + 5 = 0

Therefore, the equation of line is 3x – y + 5 = 0

Example 2:

Find the equation of a line with slope 5 and an intercept 6 and verify it using a slope-intercept form calculator.

Solution:

The general equation of the slope-intercept form is: y = mx + c.

⇒ y = 5x + 6

⇒ 5x – y + 6 = 0

Therefore, the equation of line is 5x – y + 6 = 0

Similarly, you can try the slope-intercept form calculator to find the equation of a line for the following:

- Slope m = -4, y-intercept c = 7
- Slope m = 8, y-intercept c = -6

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