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