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