## Introduction to Point Slope Form Calculator:

Point Slope form Calculator is an online tool that helps you to **find the straight line** equation using the given slope point. It is used for the evaluation of algebraic equations using the coordinates geometry of the point slope form.

The point-slope form calculator is a beneficial tool for students, teachers, researchers or engineers to get the solution of the point slope problem easily and quickly without giving any external assistance.

## What is Point Slope Form?

Point slope form is an algebraic process in which you find the equation of a straight line using the point slope formula in algebra. It is a useful method as it gives an **equation line** using cartesian coordinates at a specific point m.

The equation of a line is straight if it has no steepness that means if m = 0 then the given equation is at the x-axis on a graph. On the other hand for the vertical line, the point slope of the formula becomes undefined because of the decreased curve steepness.

## Formula of Point Slope Form:

The **formula of point slope** form is the y coordinates with initial y1 values are equal to the slope of m with x coordinates and its initial value x1. The formula used by the Point slope form with two points calculator is,

$$ y - y_1 \;=\; m (x - x_1) $$

## How to Calculate Point Slope Form?

To **calculate the equation** of a line using the point-slope form formula, you must follow these simple steps to get the straight line equation easily. Here is the calculation step of the Point Slope Form.

**Step 1:**

Identify the coordinates of a point (x0,y0) that lies on the line and the slope value m of the line.

**Step 2:**

The Formula of point slope form is,

$$ y - y_1 \;=\; m (x - x_1) $$

**Step 3:**

Substitute the given point values of x0, y0, and slope m in this formula.

**Step 4:**

After substitution, you can simplify the point slope form value equation for the solution of the equation of a straight line.

## Practical Example Of Point Slope Form:

The practical **example** of point slope form with solution gives you conceptual clarity about the point slope form calculation.

### Example: Find the equation of the line passing through points,

$$ P(-3,2)\; and\; Q(2,-1) $$

**Solution:**

The given cartesian coordinates is,

$$ P(-3,2)\; \; Q(2,-1) $$

To get the value of m use the below formula,

$$ m \;=\; \frac{\Delta y}{\Delta x} $$

Put these points in the above formula and solve it to get the value of m,

$$ m \;=\; \frac{\Delta y}{\Delta x} \;=\; \frac{-1 - 2}{2 - (-3)} \;=\; -\frac{3}{5} $$

$$ m \;=\; -\frac{3}{5} $$

The point slope form of equation line formula consists of coordinates point and m value,

$$ y - y_0 \;=\; m(x - x_0) $$

Put the given point value (x0,y0) and m value in it,

$$ m \;=\; - \frac{3}{5},\; x_0 \;=\; -3 \;and\; y_0 \;=\; 2 $$

$$ y - 2 \;=\; -\frac{3}{5}(x - (-3)) $$

Solve it to make a point slope equation,

$$ y - 2 \;=\; -\frac{3}{5}(x - (-3)) $$

$$ y - 2 \;=\; -\frac{3}{5}x - \frac{9}{5} $$

$$ 5(y - 2) \;=\; 5 \left(-\frac{3}{5}x - \frac{9}{5} \right) $$

$$ 5y - 10 \;=\; -3x - 9 $$

The equation of the point slope form of the straight line is,

$$ 3x + 5y \;=\; 1 $$

You can take the Q point as the value of x0 and y0 as you can get the same equation as you get from P point value.

## How to Use Point Slope Form With Two Points Calculator?

Point Slope Form Calculator has a simple layout so that everyone can use it to solve point slope form line problems. You just need to put your coordinates value for the point-slope problem and follow some steps. These steps are:

**Enter the value**of x0 and y0 value for the slope point form equation in the input field.- Add the value of m which is the slope in the input field.
- Check the input slope point values that you provided before clicking the calculate button to get the solution in the point-slope form calculator.
- Click the “Calculate” button for the solution for the point-slope form problem.
- If you want to check the working process behind our point slope form to slope intercept form calculator, use the load example question to get an idea about its working method.
- Recalculate button provides you an opportunity to evaluate more examples of point slope form line questions to find the straight line.

## Final Result of Point Slope Form.Calculator:

The points to point slope form calculatorprovides you with a **solution** equation of the line as per your input value of the slope line problem when you click on the calculate button. It may include:

**Result Option**:

When you click on the result button, you get the solution of the point-slope form line problem.

**Possible Step Option**:

Possible steps option gives you the solution of the point slope form value problem in a step-by-step method.

## Advantages of Point Slope Form to Slope Intercept Form Calculator:

Point-slope form calculator has several advantages whenever you use it to solve point slope form problems and get its solution. These advantages are:

- Point slope form with two points calculator is a
**speedy tool**that determines point slope form value problems with solutions in a couple of minutes without any external effort. - It is an educational tool that helps children to learn the concept of the point slope form method for finding straight lines easily.
- Slope intercept form calculator with two points is a handy tool that quickly solves the point slope form problems with the help of its formula.
- It is a free tool that allows you to use it for calculating the equation of the line without any fee to get its solution.
- Point slope to standard form calculator has a user-friendly interface you do not need to become an expert for point slope form problems.
- Our Point Slope Form Calculator only takes the input value and provides a solution of the equation of line without sign-up condition.