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Point Slope Form Calculator

Point Slope Form Calculator

X1

Y1

Slope (m)

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An online point slope form calculator will show the equation of a line “y – y1 = m(x – x1)” by using the coordinate points and slope of the line. Also, this point slope calculator by calculator-online will displays the graph of point-slope form for the given coordinates and slope.

Keep reading to know how to find point slope form by slope point calculator, point slope form equation that uses for step-by-step calculations, and much more!

Now, simply begins with the basic definition of “Point Slope Form”

What is Point Slope Form?

The difference in the y-axis coordinate between two points (y – y1) is proportional to the difference in the x-axis coordinate points (x – x1), the equation called point slope form.

Also, try this online slope calculator free to find the slope or gradient between two points in the Cartesian coordinate system.

What is Point Slope Form Formula (Equation)?

The point slope form equation is given as,

y-y1=m (x-x1)

Here, y1 and x1 are the coordinate points in the cartesian coordinate plane.

And (m) represents the slope of the line. Our point slope equation calculator also performs calculations according to this formula.

Real life examples of point slope:

The point slope form is very helpful to the solutions of our daily life problems like in Physics, the definition of some quantities like velocity, acceleration, displacement, and the rate of change plays an important role.

Also for the estimation of population growth, death rate, birth rate etc the rate of change is helpful.

What is the Cartesian Coordinate Plane in Math?

The cartesian coordinates of the plane are specified in terms of the x and y coordinate axis. The Cartesian coordinates are written as (x,y). The first number is x as it is the distance between the origin and the direction along the x-axis. Another number is y as it is the distance between the origin and the direction along the y-axis.

Use, this free distance and midpoint calculator to find the distance and midpoint of a line segment and get the step-by-step calculations.

What is The Slope of a Line?

The slope of the line also called the rate of change between two points because it is the ratio of change in y coordinate to the change in x coordinate. If we have two points in the cartesian coordinate plane A(x1,y1) and B(x2,y2), then our point slope calculator figure out the slope of two points by the given formula,

m=y2-y1/x2-x1

Or, m=Δy/Δx

m=Vertical change/Horizontal change = rise/run

The character Δis a Greek letter, means the change or difference. The slope of a line can also be defined as the ratio of rising to the run. Rise means how high or low we have to move to a point on the right from the left point. Run means how far left or right we have to move to a point on the right from the left point.

The slope of a line describes the steepness of a line. There are four types of slope:

  • Positive Slope
  • Negative Slope
  • Slope of zero
  • Undefined slope

Slope Formula:

The slope of a line passing through any two points (x1,y1),(x2,y2)can be calculated by the following formula,

m=(y2-y1)/(x2-x1)

he slope intercept form calculator helps you to find the equation of a line from given two points, one point & slope, and slope & intercept of a line

If you want to determine an equation of a line from given two points, one point & slope, and slope & intercept of a line, then try this simple slope intercept form calculator online.

What is an Equation of a straight line?

The equation of any straight line called the linear equation and it is written as,

y=mx+b

Here,

m is the slope of the line.

b is the y-intercept of the line. It is the point where a line crosses the y-axis.

Point Slope Form Calculator:

An online point slope form calculator uses two coordinates of a point A (xA, yA) and slope (m) in the two-dimensional Cartesian coordinate and determines the equation of a line that passes through A. Remember that this point slope equation calculator helps to find the equation of a line in the general form “Ax + By + C = 0”. This point slope formula solver requires only one point in the two-dimensional Cartesian coordinate plane and coefficient m.

This slope form solver performs calculations accurately and according to the exact rules of mathematics.

How to find point slope form by point slope calculator:

This point slope form equation calculator uses the simple equation for performing point slope calculations precisely. Simply, follow the given steps to figure out the point slope form equation:

Read on!

Inputs:

  • First of all, you have to enter the coordinate point for x1 into the designated field.
  • Then, you have to enter the coordinate point y1into the designated field.
  • Now, you have to enter the coefficient of slope (m) into the given field of this tool
  • Finally, it’s time to make a click on calculate button to get precise measurements

Outputs:

The point slope formula calculator will show you:

  • Point slope equation according to given inputs.
  • General form of point slope.
  • Step-by-step calculations to find point slope form for the given inputs.
  • Graphical representation of the point slope equation.

How to solve point slope form manually (step-by-step)?

The formula used to find out the point slope form is as follows,

y-y1=m(x-x1)

Quit worrying, the step-by-step calculations of point slope form become easy with this point slope form calculator.

Read on!

For example:

The slope of a line is given as 7 and the point is (2,5).Find out the point slope form?

Solution:

Here the x coordinate is 2 and y coordinate is 5,slope is 7.

x1=2

y1=5

m=7

By putting the values in the point slope equation,

y-5=7(x-2)

y-5=7x-14

y=7x-14+5

y=7x-9

7x-y-9=0

This point slope equation calculator does calculations according to this formula.

Frequently Ask Questions(FAQ’s):

How do you do point slope form with one point?

If you know the slope of the line and the coordinates of one point,then you can write the point slope form.

What is standard form slope?

The standard form of slope is Ax+By=C.WhereA,B,C are integers.

How do you find slope given two points?

To find the slope between two points,you have to follow the three steps.

  • Step1: Identify two points on the slope.
  • Step 2: Select one as (x1,y1) and the other as (x2,y2).
  • Step 3: Use this formula to calculate the slope, “m = (y2-y1)/(x2-x1)”

Do parallel lines have the same slope?

The slopes of two parallel lines are the same. Keep in mind two lines are parallel if their slope is equal and have different y-intercepts.

What is point slope form good for?

When you are not given y intercept of line and only know about the slope and one point,then point slope form will help you.

What are the 3 slope formulas?

There are three forms of linear equations.

• Point slope form.

• Standard form.

• Slope intercept form.

Also, you can use an online point slope formula calculator that uses formula for the point slope for finding point slope form.

Can A in standard form be negative?

The standard form is Ax+By=C.In this A shouldn’t be negative,also A and B both not be zero.

What is the slope of line y=-3?

The slope of this line is zero because this is a horizontal line passing through y=-3.

How do you tell if a line is parallel or perpendicular or neither?

We can determine from their equations by comparing their slopes. If both the slopes are the same and have different y-intercept, then the lines are parallel to each other.And if the slopes are negative reciprocal to each other, then lines are perpendicular to each other.

What is the function of slope in excel?

To calculate the slope between two points,the SLOPE function is used in excel.

End-Note:

Well, the calculator-online programmed this point slope form calculator for teachers, students, and any profession where the point slope form of a line calculation required. Try this point slope formula calculator that allows you to find the equation of a line within no time. In simple terms, this point-slope equation solver is best for finding point slope form directly.

References:

From the source of khanacademy: Intro to point-slope form

From the source of virtualnerd: how do you write an equation of a line in point-slope form if you have the slope and one point

From the source of studypug: How to use point-slope form in linear equations