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# Point Slope Form Calculator

X1

Y1

Slope (m)

Table of Content

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The point slope form calculator helps you to calculate point slope form of a line equation by using line’s slope and point on it. Get step by step calculations and graph of the equation to check the position of the point slope form coordinates on a 2D plane.

### 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.

## 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 Our Calculator Works:

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

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.

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.

## References:

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

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


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# Why is the melting point of BaCl2 > BeCl2 while CsCl<NaCl

I'd think that increasing ionic character by increasing electronegativity difference would result in strong bonds but in the case of NaCl and CsCl(and the other chloride of the group) the case is different.

• Sep 17 '17 at 9:09
• Ionic compounds have no bonds. It's a question of efficient packing and electrostatics.
– Karl
Sep 17 '17 at 9:34
• @Karl Ionic compounds have bonds, just constructed differently from those th things like water and methane. Sep 17 '17 at 9:46
• @OscarLanzi A "bond" implies directional connection. No such thing in sodium chloride. The term is simply not helpful in explaining the properties of ionic compounds, as can be see by the above question, where it has mislead the OP.
– Karl
Sep 17 '17 at 10:49
• @Karl A bond does not imply directionality. An ionic bond is a perfectly valid bond whether you are discussing the 'real' ionic bond (with non-zero covalent/metallic character), or the ideal 'pure' ionic bond. Since this is an issue of chemical definitions, I refer you to the IUPAC Gold Book. Sep 17 '17 at 11:45

When comparing barium chloride and beryllium chloride, you are essentially comparing apples and oranges since beryllium chloride is a primarily molecular compound. In its gas phase, it forms $\ce{BeCl2}$ monomers and $\ce{Be2Cl4}$ dimers. The intramolecular attractions in molecular compounds are typically rather strong with the intermolecular ones are weaker. For ionic compounds such as barium chloride, we cannot distinguish between the two since we cannot define molecular entities.

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# Ramayan Chapter Help

1 Like

Let A represent the matrix, and A_{ij} represent the element at the ith row and $jth$column. First divide A_{ij} by \sum A_i, so that A_{ij} Now represents the probability of going from the ith state to the jth state in one step.

What is the probability of going from some state x to some state y in 2 steps?
It’s just \sum P(x->i)\times P(i->y), where P(i->j) represents the probability of going from the ith state to the jth state.We know that is just A_{ij} so the answer is \sum A_{xi}A_{iy}. This is because we will start at x, go to some intermediate state i and then go to y. We are just adding the probability for all possible intermediate states.

This is just the calculation of Matrix multiplication.
So the matrix that tells us the probabilty of going from x to y in 2 steps is just A^2. In fact, This is true for any power, and we can prove it by induction.

Let us assume A^a is the matrix representing the probability matrix for a
steps, and A^b is the matrix representing the probability matrix for b steps.
So we know that A^{a+b}_{xy} = \sum A^a_{xi}A^b_{iy}, which is still the algorithm for matrix multiplication. This time we are not reaching i immediately, but after a steps. We know that there must be some i we will have to be after a steps. We are just adding all of them.

This is also known as a Markov chain.

4 Likes


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# fastDummies 1.6.3 Unreleased

• Fix bug where inputting a vector or a one column data.frame returned an issue. Now will convert the vector to a data.frame and return that. Will name each column “.data_”. Closes #23 by @Garyf20.
• Fix bug where remove_most_frequent_dummy wasn’t working right when there was a tie for which value was the most frequent. Closes #22 by eden70.

# fastDummies 1.6.2 2020-09-16

• Dummy columns are now returned in alphabetical order including numeric order (e.g. photos_2 is before photos_11).

# fastDummies 1.6.1 2020-03-07

• Bug fixes.
• Dummy columns are now returned in alphabetical order.

# fastDummies 1.6.0 2019-11-29

• Adds the parameter remove_selected_columns to dummy_columns(). If TRUE (not default), removes the columns which are used to create the dummy columns.

# fastDummies 1.5.0 2019-09-02

• Removes sort_columns parameter. Now by default will order by level if the variable is a factor type.
• Fix bug where split parameter didn’t work properly.
• If value is NA, sets to NA in dummy column rather than value of 0. Closes #18 by @DLustenBerger.

# fastDummies 1.4.1 Unreleased

• Fix bug when column is factor type when using split parameter. Thanks to Matthew Sigal for submitting issue on GitHub.

# fastDummies 1.4.0 2019-06-17

• Adds option to ignore NA values in dummy_cols (doesn’t make a variable_NA) column is selected. Thanks to juribep5 for the GitHub suggestion.
• Adds split parameter in dummy_cols to handle if a row has multiple categories. Thanks to Matthew Sigal and Andrew Fernandes for the GitHub suggestion.

# fastDummies 1.3.0 2019-04-22

• Adds option to sort dummy columns following the order of the original factor variable. Thanks to Patrick Baylis for the pull request with the code for this feature!

# fastDummies 1.2.0 2018-06-21

• Adds option to exclude the most frequently observed category rather than the first category as is default. Thanks to GitHub user S-UP for the suggestion!

# fastDummies 1.1.0 2018-03-03

• Thanks to GitHub user yu45020 dummy_cols() is now about >20% faster and much more memory efficient.

• Both dummy_cols() and dummy_rows() now return the same data type inputted e.g. data.frame input returns data.frame, tibble returns tibble.

• Fix documentation that incorrectly said default value for new dummy rows is 0. It is in fact a value of NA.

# fastDummies 1.0.0 2018-01-08

• Reduces number of parameter that were in previous version.

• Significant speed increases for both dummy_cols() and dummy_rows() functions.

• dummy_cols() now accepts numeric columns.