An algebraic expression that defines a set of points and makes a line in a coordinate system is termed an equation of a line. The considerable points together initiate a line in the coordinate axis that is represented as a set of variables x, y to make an algebraic equation, which is mentioned as an equation of a line. Using the equation of the line, you can observe whether a given point lies on the line or not. In this regard, you can also find the line of any equation with the assistance of an online equation of a line calculator. The equation of a line is a linear expression that has a degree. Let’s discuss more the different states of the equation of a line and also know how to find the equation of the line calculator.
Standard form of a line of an equation:
The standard form represents the equation of a line is given as:
Equation of a Line, y = mx + b
Where
- “m” represents the slope of the line
- “b” represents the y-intercept
What are the different forms of a linear equation?
The three different forms of linear equations are given as:
- Standard Form: Ax + By = C
- Slope Intercept Form: y = mx + b
- Point Slope Form: y -y_1 = m (x – x_1)
The equation of a line can be assembled with the help of the slope of the line in the graph and set a point on the line. Let’s comprehend more regarding the slope of the line and the required point on the line, to better understand you need to make the equation of the line. The slope of the line is the inclination of that line and represents by the positive x-axis and is also described as a numeric digit, fraction, or the tangent of the angle it makes with the positive x-axis. The given points guide to that point in the coordinate system represented with the x coordinate and the y coordinate. In addition to that, you can find the x and y coordinate points by using this equation of a line calculator.
How to calculate the equation of the line given the Slope and y-intercept?
You can easily calculate the slope and intercept of a line if the equation is written in slope-intercept form, y=mx+b. Now you will do the reverse with the slope and y-intercept and
use them to learn the equation of the line. Let’s have a look at the following example.
Example:
Find the equation of a line with the given slope −9 and y-intercept (0,−4).
Solution:
Since in this example you have the given slope and y-intercept of the line, you can substitute the required values into the slope-intercept form, y = mx + b.
Name the slop m = -9
Name the y-intercept = (0, −4)
Substitute the values into y = mx + b.
y = -9x+(-4)
y= 9x -4
You can check this example with the assistance of an online equation of a line calculator.
How does the Equation of a Line Calculator work?
Following are the steps to calculate the equation of a line of any slope. Just follow the steps and make your calculations instantly.
Step #1: Enter the values into the selected area of the calculator.
Step #2: You can select a Two-point, One point, or a y-intercept from the checklist
Step #3: Once you insert values and Press, the calculate button
Step #4: After a couple of seconds, a detailed solution is displayed with a graphical representation
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