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.

Videos can also be useful when practicing for algebra problems. Here's a nice tutorial video on slope intercept form examples and lessons.