SOLUTION: find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C. Points are (3,2) and (5,6).

Algebra ->  Linear-equations -> SOLUTION: find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C. Points are (3,2) and (5,6).      Log On


   



Question 793233: find an equation of the line passing through each pair of points. Write the equation in the form Ax+By=C. Points are (3,2) and (5,6).
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
3 2 5 6

The general equation of the line when co-ordinates of two points are given is

%28y-%09y1%29%2F%28%09y1-y2%29+=+%28x-x1%29%2F%28x1-x2%29




%28y%09-2++++++%09%29%2F%28%09-4++++++%09%29=%28x%09-3++++++%09%29+%2F%28%09-2++++++%09%29

+%09-2++++++%09%28y%2B%09-2++++++%09%29+=%09-4++++++%09%28x-%093++++++%09%29

-2 y+ 4 = -4 x+ 12

-2 y= -4 x+ 8
/ -2
1 y= 2 x -4
2x-y=4