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(5, 12) and (7, 10).
Thank you for any help you can give

2007-06-20 02:27:44 · 8 answers · asked by Anonymous in Science & Mathematics Mathematics

8 answers

slope of the line through the points

slope = (y2-y1)/(x2-x1)
= (10-12)/(7-5)
= -2/2
= -1

any line perpendicular to that has the negative inverse slope
so
slope = 1

2007-06-20 02:32:00 · answer #1 · answered by jeremy s 2 · 0 0

Perpendicular lines have slopes that are negative reciprocals of each other. Examples are m = 3, -1/3,
m = 3/4, -4/3, or, in your case,

(12 - 10)/(5 - 7) = 2/-2 = -1 = m,

so any line with a slope of 1 will be perpendicular to it.

2007-06-20 02:34:32 · answer #2 · answered by Gary H 6 · 0 0

The slope of the line through those points is
(10-12) / (7-5) = -2/2 = -1

The perpendicular slope is -1 * (1/-1) = 1

Going a little further, you can find the equation of a line perpendicular to the line that passes through those points:

so using (y-y1) = m(x-x1)
we have
y-12 = 1 (x-5)

Simplifying to get to y=mx+b form:
y-12= x-5
y = x+7

2007-06-20 02:31:11 · answer #3 · answered by whitesox09 7 · 0 0

the slope of the line through given points is (10-12)/(7-5)=-1

The slope of the perpendicular line is the negative reciprocal of this or +1. you could calculate it as -(difference in x)/(difference in y):

-(7-5)/(10-12) =-2/-2 = 1

2007-06-20 02:34:29 · answer #4 · answered by bignose68 4 · 0 0

m = (10 - 12) / (7 - 5)
m = - 1
Slope of perpendicular line is 1

2007-06-20 03:45:37 · answer #5 · answered by Como 7 · 0 0

the slope of the second line m2=(10-12)/(7-5)=-1
and since the first line is perpendicular to the second line then its slope m1 is 1
(m1*m2=-1)

2007-06-20 02:32:29 · answer #6 · answered by Anonymous · 0 0

Find the slope of the line passing through the points.
y2-y1/x2-x1

If your line is perpendicular, its slope is the opposite reciprocal. You must FLOP the original slope (FLip, OPposite)

2007-06-20 02:31:23 · answer #7 · answered by ania 2 · 0 0

slope formula

m = y₂- y₁/ x₂- x₁

Ordered Pair

(5, 12)(7, 10)

m = 10 - 12 / 7 - 5

m = - 2 / 2

m = - 1

- - - - - - -

Slope is - 1

- - - - - - - - - -s-

2007-06-20 02:59:48 · answer #8 · answered by SAMUEL D 7 · 0 0

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