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Point Slope Form Calculator
Enter the values of X1, Y1, 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 [(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