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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 find the equation of a line “\(y – y1 = m(x – x1) \)” by using two coordinate points and the slope of the line. This point slope calculator will show the graph of point-slope for the given coordinates and slope. However, this point-slope formula solver requires only one point in the two-dimensional Cartesian coordinate plane and coefficient \((m)\).

Keep reading to know how to find point slope form by using slope point calculator and its equation, and certain related terms!

Now, simply begins with the basic definition!

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. You can give a try to point slope equation calculator if you want to solved the problem related to the form of a point slope.

Use, this free distance and midpoint calculator to find the distance and midpoint of a line segment and get the step-by-step calculations. And, 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 \(y-axis\).

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 exact 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 \(y1\) into 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)?

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

$$ y-y1= m (x-x1) $$

Apart from this formula, you can use point slope form calculator to perform instant calculations.

Read on!

For example:

The slope of a line is given as 7 and the point is (2,5). Find out the slope point 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 formula solver 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. If the given slope is in fraction form, then use our point slope form calculator to find its equation form,

What is standard form slope?

The standard form of slope is \(Ax+By=C\). Where \(A\), \(B\), \(C\) 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, “\(m\) = \((y2-y1)\)\(/\)\((x2-x1)\)”

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 form of slope point 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 a simple formula for the point-slope calculations.

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.

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.

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