SOLUTION: Write an equation of the line that passes through (1,-1) and is perpendicular to the line y= -1/2x+6.

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line that passes through (1,-1) and is perpendicular to the line y= -1/2x+6.       Log On


   

Question 775601: Write an equation of the line that passes through (1,-1) and is perpendicular to the line y= -1/2x+6.
Found 2 solutions by sofiyac, Cromlix:
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular means the slope is flipped and has opposite sign, so our slope would be 2
y+1=2(x-1)
y+1=2x-2 subtract 1 from each side
y=2x-3

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Lines that are perpendicular to one
another have slopes (m) that multiply
to give -1
y = -1/2x + 6
Has a slope (m) of -1/2
So, the line that is perpendicular
to it has a slope of 2
-1/2 * 2 = -1
Using y - b = m(x - a) with (1,-1)
with a = 1, b = -1 and m = 2
y - (-1) = 2(x - 1)
y + 1 = 2x - 2
y = 2x - 2 - 1
y = 2x - 3
Hope this helps.
:-)