Find the equation in 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?

Find the equation in slope intercept form calculator

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.

Find the equation in slope intercept form calculator

Want to find complex math solutions within seconds?

Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps.

Book a Free Trial Class

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
  • Slope
  • Slope Intercept Form

☛ Math Calculators:

Enter Slope(m)=
Enter y-intercept(b)=
Equation

Slope Intercept Form Calculator is a free online tool that displays the equation of a line using the slope-intercept form. BYJU’S online Slope-Intercept form calculator tool makes the calculation faster, and it displays the equation in a fraction of seconds.

How to Use the Slope Intercept Form Calculator?

The procedure to use the slope-intercept form calculator is as follows:

Step 1: Enter the slope value and y-intercept in the respective input field

Step 2: Now click the button “Solve” to get the result

Step 3: Finally, the equation of a line using the slope-intercept form will be displayed in the output field

What is Meant by Slope-Intercept Form?

In mathematics, the equation of a line can be expressed using the slope-intercept form. There are three different ways to define the equation of a line, such as standard form, point-slope form, slope-intercept form. When the slope and the y-intercept value is known, the equation of the line can be easily determined. The slope-intercept form can be represented by

y = mx + b

Where

“m” represents the slope

“b” represents the y-intercept.

How do you find the equation in slope

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

How do you write an equation in slope

Steps to find the equation of a line from two points:.
Find the slope using the slope formula. ... .
Use the slope and one of the points to solve for the y-intercept (b). ... .
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line..