Home

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution
Problem: line through (5,5) and parallel to line passing (1,-2) and (-5,2) [ Calculator, Method and examples ]

Solution:
Your problem `->` line through (5,5) and parallel to line passing (1,-2) and (-5,2)


When two lines are parallel, their slopes are equal.
We shall first find the slope of `(1,-2)` and `(-5,2)`

Points are `B(1,-2), C(-5,2)`

`:. x_1=1, y_1=-2, x_2=-5, y_2=2`

Slope = `m = (y_2-y_1)/(x_2-x_1)`

`:. m = (2+2)/(-5-1)`

`:. m = (4)/(-6)`

`:. m = -2/3`

`:.` Slope`=-2/3` and hence slope of the line parallel to this line is also `-2/3`

The equation of a line with slope m and passing through `(x_1,y_1)` is `y-y_1=m(x-x_1)`

Putting `(5,5)` for `(x_1,y_1)` and `m=-2/3,` we get

`:. y-5=-2/3(x-5)`

`:. 3(y-5)=-2(x-5)`

`:. 3y -15=-2x +10`

`:. 2x+3y-25=0`










Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

 
Copyright © 2019. All rights reserved. Terms, Privacy





We use cookies to improve your experience on our site and to show you relevant advertising. By browsing this website, you agree to our use of cookies. Learn more