2007-04-23 05:37:17 · 7 answers · asked by Lilith R 1 in Science & Mathematics ➔ Mathematics
2x - y - 8 = 0
2x - 8 = y
slope of given line is 2
slope of perpendicular line is (-1/2)
2007-04-23 05:41:44 · answer #1 · answered by Mathematica 7 · 0⤊ 1⤋
You got a couple of wrong answers and a couple of correct ones.
The only thing that you need to remember is that the product of the slopes of perpendicular lines is -1.
You line has slope +2 so
2*mp = -1
mp = -1/2 is the slope of the perpendicular line.
Note that a horizonal line has zero slope and zero does not have a reciprocal BUT a vertical line with undefined slope is perpendicular to a horizontal line with zero slope so there you go!
2007-04-23 12:47:05 · answer #2 · answered by modulo_function 7 · 0⤊ 1⤋
A perpendicular line must have a negative reciprocal (opposite) slope, therefore when changed to y=mx+b
y=2x-8
The slope needs to be -1/2
2007-04-23 12:40:57 · answer #3 · answered by jcann17 5 · 1⤊ 0⤋
to get the slope, you need to isolate 'y' from the others so,
y = mx + b
with your given equation it will be,
- y = -2x + 8
it became like that because of transposition. but you still need to transpose the negative (-)sign found in 'y' so,
y = 2x - 8
so the slope (m) is 2 [parallel]
and your perpendicular slope is -1/2
2007-04-23 12:53:31 · answer #4 · answered by devilishlyangelic91 2 · 0⤊ 0⤋
y = 2x - 8
m = 2
a line perpendicular to another has the slope m' * m = -1
so m' = -2
2007-04-23 12:49:57 · answer #5 · answered by Anonymous · 0⤊ 1⤋
y = 2x - 8
perpendicular has negative reciprocal slope, so -1/2x is slope
y = -1/2x - 8
2007-04-23 12:41:41 · answer #6 · answered by :-) 3 · 0⤊ 1⤋
y=2x-8
m1=2
m1*m2=-1
2*m2=-1
m2=-1/2
Answer: - 1/2
2007-04-23 12:41:18 · answer #7 · answered by iyiogrenci 6 · 1⤊ 0⤋