Question

help please!
A. Line m contains the points, A(–2, 6) and B(4, 8), while line n contains the C(8, 12) and D(x, 24).

Given m and n are perpendicular lines, solve for the value of x.
Given m and n are parallel lines, solve for the value of x.
In your final answer, include all formulas and calculations necessary to solve for x.
*question closed but i still need help!*

Answer 1

@amistre64 can you help ?? im not sure what equations to use

Answer 2

we are looking to compare slopes, what is the slope formula?

Answer 3

we also need to know the properties of parallel slopes and perpendicular slopes ...

Answer 4

m = y2-y1 / x2-x1 is slope right?

Answer 5

thats the formula, not find the slope of each line

Answer 6

**now find the slope ....

Answer 7

for line M i got 1/3 for the slope

Answer 8

im confused on line N because one of the variables is just X so i dont know what to do

Answer 9

@amistre64

Answer 10

Line m contains the points, A(–2, 6) and B(4, 8),
(–2, 6)
-(4, 8)
------
-6,-2 slope = 1/3 i agree



while line n contains the C(8, 12) and D(x, 24).
(x, 24)
-(8, 12)
----------
x-8, 12


slope is just 12/(x-8)


now we have to know the properties of perp and parallel slopes

Answer 11

parallel slopes are equal, so equate them

1/3 = 12/(x-8)

x-8 = 36 what is x?
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perp slopes have a product equal to -1, so set it up

1/3 * 12/(x-8) = -1

12/(x-8) = -3

x-8 = -4 what is x?