Question

Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (5, 10) and (12, 6) Line B: (-2, 4) and (5, 8)

Answer 1

@dude

Answer 2

For this you just need to find the slope between the points

\(m_a=\dfrac{y_2-y_1}{x_2-x_1}\)
and
\(m_b=\dfrac{y_2-y_1}{x_2-x_1}\)

Answer 3

ma:-4/7

mb: 4/7

Answer 4

now what do I do

Answer 5

@dude

Answer 6

@Gdeinward

Answer 7

the slopes indicate that the points are located on opposite sides of the y-axis

Answer 8

Idealy, if you cant visualize it, you would graph the points to determine their relationship.

Answer 9

so parallel?

Answer 10

@Gdeinward am i correct?

Answer 11

no. Here is a grpah with the points:

Answer 12

but I learned that we are supposed to find the slope and base it off that

Answer 13

There are general rules that decide wether they ar eparralel or night. They are as follows:

Answer 14

perpendicular slopes are negative reciprocals of each other

Answer 15

the slopes of parallel lines are equal.

Answer 16

So if the slopes dont reciprocate any of these rules, then it must be neither.

Answer 17

so -4/7 and 4/7 are not parallel or perpendicular?

Answer 18

Yep, theyre neither

They just intersect

Answer 19

That is correct.

Answer 20

Like Dude said.

Answer 21

oh okay and this one:

Determine if the lines that pass through the given points are parallel, perpendicular or neither. Line A: (2, 3) and (-4, 5) Line B: (-4, 9) and (-3, 12)

Answer 22

the slopes are 2/-6 and 3/1

Answer 23

Well, following the previous rules, what do you think?

Answer 24

perpendicular

Answer 25

when its simplified

Answer 26

That is correct. Now ur getting the hang of it.

Answer 27

@dude

Answer 28

Make sure to make a new post

Anyway, well this looks like a standard equation

Do you know the slope of that line is?