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Linear Equations: How to Find Slope, y-Intercept, Distance, Midpoint

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2016-03-26 12:44:03
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Algebra II All-in-One For Dummies
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In algebra, linear equations means you're dealing with straight lines. When you're working with the xy-coordinate system, you can use the following formulas to find the slope, y-intercept, distance, and midpoint between two points.

Consider the two points (x1, y1) and (x2, y2):

Slope of the line through the points:
image0.png
Slope-intercept form of the line with y-intercept b:
image1.png
Point-slope form of the line with slope m:
image2.png
Distance formula:
image3.png
Midpoint formula:
image4.png

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Mary Jane Sterling (Peoria, Illinois) is the author of Algebra I For Dummies, Algebra Workbook For Dummies, Algebra II For Dummies, Algebra II Workbook For Dummies, and many other For Dummies books. She taught at Bradley University in Peoria, Illinois for more than 30 years, teaching algebra, business calculus, geometry, and finite mathematics.