slope intercept form calculator with one point

Passes through, which also would define one and one line only. Ultimately, you may have two points you know the line Or also you can provide the slope of the line and one point it passes through. On what type of information you have been provided with, you may have the slope and y-intercept (which together univocally define a line) One way is to simply to type out a valid linear equation directly. There are several ways to define a linear equation. How do you define the equation of the line in this calculatorįirst, you need to provide information to specify the equation. Where a is the slope of the line, and b is the y-intercept, and your How to put it into slope-intercept form, with the following formula: This slope-intercept equation calculator will allow you to provide information of a linear equation in one of four ways, and then it will show Substitute these values in the standard equation of the slope-intercept form.Įxample 3: (When 1 Point and Slope are known)ĭetermine the equation of a line that passes from the point (2, 5) with a slope of 3.More about this line in slope-intercept form calculator It is the equation that passes from (2, 3) and (-1, 5).Įxample 2: (If Slope & y-intercept are given)įind the equation of a straight line when the slope of a line is 3 and the y-intercept of the line is - 6.

Substitute the value of b and m in the general equation of slope-intercept form. Now that we have the slope, we can use the slope-intercept form to find b:Īs the line passes through the points (2, 3) we can substitute the values of x and y into the equation as follows: We will use the following formula to find the slope of this line.

Let's look at a couple of examples to see how slope intercept form works.ĭetermine the equation of a straight line that passes through the points (2, 3) and (-1, 5). Here are a few examples to clarify the above steps.

Once you have found the values of m and b, substitute them into the equation:.

Go to the next step if it is also given in question. Substitute the values of x, y, and m into the equation ( y = mx + b) and calculate it for b. The given point and slope m can be used to find b. Move on to the next step if the slope is already given.

Find the slope (m) by the following formula.

Let’s learn how to find the slope-intercept form in easy steps:

When the Slope is zero ( m = 0): The line draws a horizontal parallel to the x-axis.

If the slope is negative ( m < 0): The line falls from left to right.

For Positive Slope ( m > 0): Line rises from left to right side.

Understanding the slope and y-intercept helps in interpreting a line's behavior.

This form is frequently used in real-world applications to represent relationships with a constant rate of change.

This makes it easy to sketch the line on a graph.

It is ideal for graphing linear equations because it directly gives the slope and y-intercept.

Slope intercept form is an easy and simple way to express the linear equation by using slope and y-intercept.

Some properties of slope intercept form are given here:

b is the y-intercept that indicates where the line cut the y-axis.

(x, y) represent every point on a line.

m denotes the slope or steepness of the line.

The formula for the slope-intercept form used to write the equation of a line is: This is the general form of slope-intercept form. The mathematical expression for the slope of a line passing through two points (x 1, y 1) and (x 2, y 2) is as follows:Īfter rearranging the above equation, we get Also (x, y) is any other arbitrary point on this line. The value of m determines the inclination of a line while the value of b represents the point where the line crosses the y-axis.Ĭonsider a straight line with slope m and intersects the y-axis at (0, b). The slope-intercept form for linear equation with slope m and y-intercept b can be expressed as: Slope intercept form requires the slope “m” and y-intercept “b” of the line to determine the equation of a line.Īssume that a line has slope m and y-intercept b. This form is highly effective in simplifying the representation and interpretation of straight-line equations. The slope intercept form is a particular and widely used form for writing the equation of a line. What is the Slope-Intercept Form of Line? In this blog post, we’ll discuss the definition of slope intercept form and learn how to determine the equation of the line by using it along with examples. The equation of a straight line may also be found using the slope-intercept form if two points on the line are given. This form is most useful when the slope and y-intercept of the line are known. It defines the connection between two variables x and y in a straight line. The slope intercept form is a way of representing a linear equation in a two-dimensional coordinate plane.

Slope intercept form calculator with one point