Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. There is no equation in the question and one sign is missing.
However, it is certain that x + y = 1 is not perpendicular.
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If you mean: y = 4x+2 then the line perpendicular to it will have a slope of -1/4
If you mean: 2x-3y = 8 then y = 2/3x-8/3 and the perpendicular slope is -3/2
The equation will be perpendicular to the given equation and have a slope of 3/4:- Perpendicular equation: y--3 = 3/4(x--2) => 4y--12 = 3x--6 => 4y = 3x-6 Perpendicular equation in its general form: 3x-4y-6 = 0
okay, so to find this the format of the equation is y=mx+b, where m is the slope, and b is the y-int. 4x-3y=6 simplified to that format is: y=1.3333...x+2, so the slope is 1 and 1/3, and the y-int. is 2.
If the points are (b, 2) and (6, c) then to satisfy the straight line equations it works out that b = -2 and c = 4 which means that the points are (-2, 2) and (6, 4)