Distance+Between+two+Points+On+A+Line

=Calculating the Distance Between Two Points On A Line:=

__**The equation for calculating the distance between two points on a line is the square root of y2 - y1 squared plus x2 - x1 squared:**__



//Sample Problem #1:// Point A = (1,3) Point B = (8,0)
 * Finding the distance beween Line AB**

Equation: __d(A,B) = sqrt [ (x2 - x1) 2 + (y2 - y1) 2 ]__ //First of all, put in all the number of to you equation -// __the square root of (8-1 ^2) + (0-3 ^2)__ //Then, do the math in the brackets -// __the square root of (49) + (9)__ //Add both brackets together -// __the square root of 58__ //Then find the square root of that number -// __= 7.61577__ //Round that number to the tenth decimal place -// __= 7.6__ //The answer will always be a positive because we are finding a distance and a distance cannot be negative.//

//Sample Problem #2:// Point C= (0,0) Point D= (6,8) Equation: d(C,D) = sqrt [ (x2 - x1) 2 + (y2 - y1) 2 ] d=sqrt [ (6-0)2 + (8-0)2 ] d=sqrt [ (36) + (64) ] d=squrt [100] d=10
 * Finding the distance between Line CD**

//Sample Problem #3://
 * Finding the distance between the line shown:**

First Point: (-5,8) Second Point: (0,-4) //Equation:// d = sqrt [ (x2 - x1) 2 + (y2 - y1) 2 ] d= sqrt [ (0- -5) 2 + (-4 - 8) 2 ] d= sqrt [ (25) + (144) ] d= sqrt [ (169) ] d= 13

//__To try this on your own do some of these examples:__//

//Sources of Information:// http://www.mathwarehouse.com/algebra/distance_formula/ http://www.analyzemath.com/Calculators/TwoPointsCalculator.html// http://hotmath.com/help/gt/genericalg2/section_12_1.html http://img.sparknotes.com/figures/3/393a0f9064f0cef5c349ab5966e8842d/slope_undefined.gif http://www.learningwave.com/lwonline/algebra_section2/graphics/slopeplane2.gif http://www.hsunlimited.com/math-lessons/images/distanceformula/image009.jpg http://www.hsunlimited.com/math-lessons/images/distanceformula/image001.jpg http://www.hsunlimited.com/math-lessons/topic/Distance-Formula Link to a distance calculator: http://www.analyzemath.com/Calculators/TwoPointsCalculator.html