If some variable in the equation has powers of more than one, i.e. 2, 3, 4, ... infinity, then the equation is rejected as a linear equation. Right off the bat, the point-slope shape is another shape that can represent linear equations in terms of two variables.

A Point slope form needed only one point on the line and its slope to resolve the line equation. It's also useful for calculating the equation of a line given two points since you can use two points to compare the slope and use one of the points as the "point" in the point-slope form.

Moreover, this article will discuss the basic definition, techniques, and examples.

**What is point-slope form?**

The slope of a point is in the general form of a linear equation v - v₁ = k (u - u₁). A point-slope form is one of the types used in linear equations and is useful for constructing equations for the positive straight line.

A Spoint-slope shape equation is developed to attain the equation of a straight line that passes through a given point and is driven at a certain angle to the x-axis. A line equation is a set of equations satisfied by each deception point on the line. If you know the specific slopes of the line and the points on it, create a formula for the points and slopes.

You will get a better understanding of what is point-slope form and how to write the point-slope form in the next steps of this article. A slope of a point calculates the equation of a line through the formula. Some different formulas for calculating the equation of a line, such that w is a line and u_{1} and v_{1} are equal to the u and v coordinates of a particular point through which the line passes.

In some techniques, we calculate the equation of a line in point-slope form. This method follows an equation like v – v_{1} = k(u – u_{1}). Where u and v are variables, k is the slope of the line, and u_{1} and v_{1} are the coordinate points of the line.

Compare to the above method, we need to calculate the slope of the line using the point-slope equation and evaluate the line equation. Most commonly use the Point Slope Shape, Calculator to get your question results according to the above formula.

**Different Techniques of Equation of a line:**

**Standard Form:**

**Slope Intercept Form:**

**Equation of Point Slope Form:**

**Calculation of Point-Slope Form:**

**Example 1:**

**Step 1:**

**Step 2:**

**Step 3:**

**Step 4:**

**Example 2:**

**Solution:**

**Step 1:**

**Step 2:**

**Step 3:**

**Step 4:**