Point Slope Form Calculator

Point Slope form Calculator

Point slope calculator is an online tool developed to find the equation of a straight line using the slope and point on that line or two points.

What is point-slope?

Point slope form is a general form for linear equations. The equation of a line can be determined by using the point slope form or slope intercept form. The point slope form highlights the slope of the line and a point on the line.

The slope of the line is the ratio of the change in the values of the y-axis and the change in the values of x-axis [(y₂ – y₁)/(x₂ – x₁)]. It is used to evaluate the steepness of the line. 

You can find the equation of point-slope form in the below section.

Point slope formula

The point slope equation can be expressed as:

y - y₁ = m(x- x₁)

Where,

• m is the slope, and
• x₁, y₁ are the coordinates of a point.

How to find equation of a line?

To find the equation of a straight line without a point slope form calculator, follow the below example.

Example 1: For 1 point & slope

Find the equation of a line whose known points are (2, 3) and slope of line is 8.

Solution:

Step 1: Identify and write down the values.

x₁ = 2

y₁ = 3

m = 8

Step 2: Place the values in the point slope formula and solve the equation.

y - y₁ = m(x- x₁)

y – 3 = 8(x - 2)

y – 3 = 8x – 16

8x – 16 – y + 3 = 0

8x – 13 – y = 0

y = 8x – 13

Example 2: For 2 points 

Evaluate the linear equation of the line whose coordinate points are (10, 15) and (12, 20)

Solution:

Step 1: Write the given points of the line.

x1 = 10

x2 = 12

y1 = 15

y2 = 20

Step 2: Evaluate the slope of the line.

m = (y₂ – y₁)/(x₂ – x₁)

m = (20 - 15)/(12 - 10)

m = 5/2 = 2.5

Step 3: Now place the slope and 1 point of the line to the equation of point slope from.

y - y₁ = m(x- x₁)

y - 15 = 2.5(x - 10)

y - 15 = 2.5x - 25

y = 2.5x - 25 + 15

y = 2.5x - 10