Question

Please help! I am so lost on this one.

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.

Answer 1

find the slope of both line
slope formula \[m= \frac{y_2-y_1}{x_2-x_1}\]
\[(x_1,y_1)(x_2,y_2)\]
A(–2, 6) and B(4, 8)
x_1=-2
x_2=4
y_16
y_2=8
replace x's and y's with the given coordinaes

Answer 2

coordinates

Answer 3

Perpendicular lines: the slope of perpendicular lines should be *negative reciprocal*
if x/y is the slope of the original equation then the perpendicular slope would be *-y/x*
and parallel lines must have the same slope.

Answer 4

so.. what is the slope of line m ?

Answer 5

I am so confused , So I would do 8 squared -16/4 squared --2?

Answer 6

that is not squared
y_2 means 2nd y-coordinate
\[(x_1,y_1) =(1st ~x-coordinate , 1st~y-coordinate )\]
\[(x_2 ,y_2)= (2nd ~c-coordinate , 2nd~y-coordinate )\]

Answer 7

so replace x_1 with -2 and y_1 with 6

Answer 8

do you mean \[\frac{ 8-6 }{ 4--2 }\] ?

Answer 9

WOW I get it now ...
I was so lost I confused myself.

Answer 10

m1 = (8 - 6)/(4 - (-2))


m1 = 2/6


m1 = 1/3

Answer 11

nice
so what would be the *perpendicular slope * ??

Answer 12

-1?

Answer 13

hmm no perpendicular slopes are negative reciprocals
for example
2/3 is the perpendicular slope of -3/2

Answer 14

flip the fraction and change the sign.
that is it. :)

Answer 15

So it would be 6/2 see this is what confused me

Answer 16

Sorry to be so slow

Answer 17

you need perpendicular slope of *1/3*
flip the fraction, change sign what would you get ?

Answer 18

x=4?

Answer 19

how did you get that ? :)

Answer 20

Sorry lost the page, nothing but issues today. It was 1/3*12/8-8=-1 -4-x =4=x

Answer 21

i have to go.
but ...
use the same formula to find slope of line n
\[\frac{ 24-12 }{ x-8 }=m\]
* Given m and n are perpendicular lines, solve for the value of x*
replace m with the perpendicular slope to find x value

for the 2nd part * Given m and n are parallel lines, solve for the value of x*
replace m with the parallel slope and then solve for x.

Answer 22

Thank you for the help!!!

Answer 23

that is not correct 8-8 =0
\[\frac{ 12 }{ 0 }=undefined \] you can't divide by 0.

Answer 24

if 1/3 is the original equation then what would be the perpendicular slope
can you answer this question,please ?

Answer 25

2/6

Answer 26

m1 = (8 - 6)/(4 - (-2))


m1 = 2/6


m1 = 1/3

slope is 1/3 right ?
perpendicular slopes are * negative reciprocal*
so flip the fraction and change the sign
1/3 perpendicular slope would be -3/1 which is same as -3

Answer 27

\[\frac{ 24-12 }{ x-8 }=m\]
* Given m and n are perpendicular lines, solve for the value of x*
replace m with the perpendicular slope to find x value

so replace m with -3 to find x value
for parallel lines replace m with 1/3 (because parallel lines must have the same slope )

Answer 28

hope that make sense now.
practice!