Question

Select the equations that are parallel and perpendicular to y = 2x - 1 and that pass through the point (4, 1).

parallel: y = 2x - 7
perpendicular: y = negative one over twox + 3

parallel: y = 2x + 2
perpendicular: y = negative one over twox + four and one half

parallel: y = negative one over twox - 7
perpendicular: y = 2x + 3

parallel: y = -2x - 7
perpendicular: y = negative one over twox - 1

Answer 1

1) parallel lines have equal slopes
2) perpendicular lines have slopes that are negative reciprocals of eachother.

Answer 2

I don't understand wut u mean

Answer 3

let parallel line be \(y=mx+b\)
then \(m=2\) find "b" using the fact that it passes through (4,1)

Answer 4

**PROPERTY: if two lines are parallel: then their slopes are equal.

Answer 5

In case of parallel lines slopes are equal..

Answer 6

ok

Answer 7

so, what did you gt for "b"?

Answer 8

Now, parallel lines that is given has slope of 2..

So use this formula:
\[y - y_1 = m(x - x_1)\]

Answer 9

(2,1)

Answer 10

"b" is just a number -> the y-intercept.

Answer 11

Here :

\[y - 1 = 2(x - 4)\]

Solve this..

Answer 12

y-1=2x-8

Answer 13

+1 on both sides
y=2x+9

Answer 14

On LHS, you should have y only..

Answer 15

Yep..

Follow the same procedure now for second one..

But remember:
In case of perpendicular lines:

slopes are negative reciprocal of each other..

Answer 16

2x - 7 should be there..

Answer 17

y - 1 = 2x - 8

By adding 1 to both the sides what will you get??

Answer 18

Now find the slope of given equation in case of perpendicularity..

Answer 19

idk wut u mean

Answer 20

How it is 2x - 9 ??

Answer 21

y - 1 = 2x - 8

Now add 1..

y - 1 + 1 = 2x - 8 + 1

??? How much??

Answer 22

y=2-9

Answer 23

Wait, now you are doing more wrong..

-8 + 1 = ???

Answer 24

Oh -7

Answer 25

Yep..

Answer 26

Simply find the slope of other line you are given with..

Answer 27

Oh My mistake, no other line is given..

Now you know that the slope is 2 for the line you are given..

So to find the line perpendicular to it, take negative reciprocal of the slope..

So, Negative Reciprocal of 2 is ??

Answer 28

See if you have two lines, one has slope m1 and second has slope m2, then:

\[m_1 m_2 = -1\]

If m1 = 2 here then what will be m2?? can you tell??

Answer 29

This is true only in case of perpendicular lines, I forgot to mention it above..

Answer 30

I'm confued

Answer 31

confused*

Answer 32

parrallel lines have same slope different intercepts
while perpendicular lines have opposite reciprocal slope

Answer 33

Let me explain it..

Answer 34

Suppose these are the two lines that are perpendicular to each other..

Suppose one line has slope \(m_1\) and other line has slope of \(m_2\)., then there is a relation between m1 and m2, that is :


\(m_1m_2 = -1\)..

Getting this much?

Answer 35

@dmezzullo getting or not??

Answer 36

Not so much

Answer 37

sorry had to take my puppy out

Answer 38

Where are you having problem?

Answer 39

Jus understanding it all