SOLUTION: find equation for the line, containing the points (4,-8) and (-4,3) ; general form. Let (x,y) is one point on this line. the slope is the same for each two points of a straight l

Algebra ->  Graphs -> SOLUTION: find equation for the line, containing the points (4,-8) and (-4,3) ; general form. Let (x,y) is one point on this line. the slope is the same for each two points of a straight l      Log On


   



Question 416729: find equation for the line, containing the points (4,-8) and (-4,3) ; general form.
Let (x,y) is one point on this line.
the slope is the same for each two points of a straight line:
%28%28y-%28-8%29%29%29%2F%28x-4%29%29=%28y-3%29%2F%28x-%28-4%29%29
%28y%2B8%29%2F%28x-4%29%29=%28y-3%29%2F%28x%2B4%29
Cross multiply
%28x%2B4%29%28y%2B8%29=%28x-4%29%28y-3%29
xy%2B4y%2B8x%2B32=xy-3x-4y%2B12
4y%2B4y%2B8x%2B3x%2B32-12=0
8y%2B11x%2B20=0
11x%2B8y%2B20=0
General form ax+by+c=0
a=11 b=8 c=20
and the given points satisfy the equation

Answer by dnanos(83) About Me  (Show Source):