SOLUTION: Indicate the equation of the given line in standard form. The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).

Algebra ->  Points-lines-and-rays -> SOLUTION: Indicate the equation of the given line in standard form. The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).      Log On


   

Question 465936: Indicate the equation of the given line in standard form.
The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The slope of the line joining(1, 0) and (5, -2) is %28-2+-+0%29%2F%285+-+1%29+=+-2%2F4+=+-1%2F2. the perpendicular slope is then the negative reciprocal, which is 2.
The midpoint between (1, 0) and (5, -2) is (3, - 1).
The equation of the line is then
y - -1 = 2(x - 3),
<==> y+1 = 2x - 6, or 2x - y = 7, or 2x - y - 7 = 0, whatever your fancy is.