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# Point Slope Form Calculator

Enter the values of X_{1, }Y_{1, }and (m) in the below input boxes and hit the ** Calculate** button to get the equation of a straight line using 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 [(y_{2} – y_{1})/(x_{2} – x_{1})]. 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 - y _{1} = m(x- x_{1})*

Where,

is the slope, and*m**x*_{1}*,*are the coordinates of a point.*y*_{1}

**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.

x_{1 }= 2

y_{1 }= 3

m = 8

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

*y - y _{1} = m(x- x_{1})*

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 = (y_{2} – y_{1})/(x_{2} – x_{1})

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 - y _{1} = m(x- x_{1})*

y - 15 = 2.5(x - 10)

y - 15 = 2.5x - 25

y = 2.5x - 25 + 15

y = 2.5x - 10