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Question 1005267: Find the equation of any line that you like but must be perpendicular to the line whose x-intercept is 1 and y-intercept is is 1/2.
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
If the line cuts the y axis at 1/2
and the x axis at 1
Then the gradient = -1/2
Mid point of (1,0) and (0, 1/2)
= (1/2, 1/4)
Perpendicular's gradient = 2
Lines that are perpendicular
to one another have gradients that
multiply together to give -1
m1 x m2 = -1
-1/2 x 2 = -1
Using the equation of the line
y - b = m(x - a)
with m = 2
(a,b) = (1/2, 1/4)
y - 1/4 = 2(x - 1/2)
y - 1/4 = 2x - 1
y = -2x - 1 + 1/4
y = -2x -3/4
or multiply through by 4
4y = -8x - 3
Hope this helps :-)
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