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

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

Slope Intercept Form Equation: y = mx + b, or sometimes y = mx + c,

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

(x_{1},y_{1}) and (x_{2},y_{2}):

Step 1: Calculate the slope (y_{2 }- y_{1}) / (x_{2} - x_{1})

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.

So, where would you ever use this? Here's an article on ways to use the Slope Intercept Form in Real Life.