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Slope Intercept Calculator

Find the slope intercept equation of a line y=mx+b from two points with this slope intercept calculator.

Coordinates of Point 1 (x1,y1): x= y=

Coordinates of Point 2 (x2,y2): x= y=

Fill in the coordinates of two points to calculate the slope intercept
in y=mx+b form.

What is the slope intercept form? And, how do you find y=mx+b?

Slope Intercept Form Equation: y = mx + b

m = slope (the amount of rise over run of the line)
b= y-axis intercept ( where the line crosses over the y-axis)

To calculate the slope intercept form equation from two coordinates
(x1,y1) and (x2,y2):

Step 1: Calculate the slope (y2 - y1) / (x2 - x1)

Step 2: Calculate where the line intersects with the y-axis by
entering one of the coordinates into this equation: y - mx = b

Example:

To calculate the slope-intercept equation for a line that includes
the two points ( 7, 4) and (1, 1).

Step 1: slope (m) = (1 - 4) / (1 - 7) = -3 / -6

slope (m) = -3/-6 = 1/2

Step 2: Using one of the original coordinates (7, 4) we find the
y-axis intercept (b) using the formula: y - mx = b

y=4, m=1/2, x =7

y - mx = b

b= .5

The slope intercept form for this line is y = .5x + .5

This line crosses the y-axis at .5 and has a slope of .5,
so this line rises one unit along the y-axis for every 2 units
it moves along the x-axis.