About Slope Intercept Form (y=mx+b) Calculator
The Slope Intercept Form Calculator is used to help you find the slope intercept form for the equation of the straight line (y=mx+b) that passes through two points. It also calculates the slope and the y-intercept of the line.
FAQ
The slope m of the line through any two points (x1, y1) and (x2, y2) is given by:
The y-intercept b of the line is the value of y at the point where the line crosses the y axis. Since for point (x1, y1) we have y1 = mx1 + b, the y-intercept b can be calculated by:
b = y1 - mx1
To calculate Slope Intercept Form you need input two points (x1, y1) and (x2, y2). The tool will calculate the slope and the y-intercept of the line based on the formula above. The calculator will show you the chart based on your input as well. You can also download the result in PDF filetype.
Related
- Distance Between Two Points Calculator
- Midpoint Calculator
Find the slope intercept equation of a line (y=mx+b or y=mx+c) from two points with this slope intercept form calculator.
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.
The general formula for slope-intercept form is , where represents the slope of the line, and represents the -value of the line’s -intercept.
The slope-intercept form of a linear equation makes it easier for us to identify how steep a line is and where it crosses the -axis.
✨ Drag the points on the graph to see how they affect the equation of the line! ✨
When we're given , we first need to find the slope. Then, we can use the slope and one of the given points to solve for the -value of the -intercept and write the equation in slope-intercept form.
What is Standard Form?
The general formula for the standard form of a linear equation is , where , , and are all integers.
We can go from standard form to slope-intercept form by isolating and simplifying:
What is Point-Slope Form?
The general formula for the point-slope form of a linear equation is , where represents the slope of a line that contains the point (, ).
We can go from point-slope form to slope-intercept form by isolating and simplifying:
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