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

@jim_thompson5910 @Mertsj @Compassionate

Answer 1

I don't remember how to do these.

Answer 2

Parallel lines have the same slope.
Perpendicular lines have opposite slopes.

To find out what line it passes through, take (4, 1) and plug it into the each equation, if the equation is false then it doesn't run through that line.

For example: If I got 3 = 4, that is false
If I got: 3 = 3, then that is true

Answer 3

Okay, thank you.

Answer 4

Can you help me with the perpendicular line part? I have a hard time with fractions and I also have a massive headache from being online all day.

Answer 5

y = 2x - 1

A perpendicular line has an opposite slope.

What is the opposite of 2x?

Answer 6

2y? > . <

Answer 7

I know it's either the first answer or the last one.

Answer 8

>2y

Oh lawdy. My sides.

\[2x \rightarrow -\frac{ 1 }{ 2x }\]

Answer 9

I'm horrible at Algebra, I know. > . <

Answer 10

Is it the first one?

Answer 11

Okay, do this.

The slope of a paralel line is the same
Slope = 2
The slope of a perpendicular line is opposite: -2

Now!

We are given the points (4, 1)

Now take the equation
y - y1 = m(x - x1)
Then plug in the temrs

y - 1 = 2(x - 4) Notice I plugged in the positive 2, which means this is the paralel line I'm finding.

So, then you solve it.

y - 1 = 2x - 8
y = 2x - 8 + 1
y = 2x - 7

Now, take the -2 (Perpendicular line)

And do the same thing.

Answer 12

Okay, so it is the first one then.

Answer 13

It may be. (;

Answer 14

GAH. I'm just gonna go with the first one.

Answer 15

NO

Answer 16

NO

Answer 17

THEN THE LAST ONE.

Answer 18

The paralel ne is: y = 2x - 7

Now, solve this to get your perpendicular line

y - 1 = -2(x - 4)

Answer 19

Would I add the one?

Answer 20

Yes

Answer 21

y - 1 = -2(x - 4)
y - 1 = -2x + 8
y = -2x + 8 + 1

Answer 22

Then divide -2x by 8?

Answer 23

What the heck are ya' talking about?

Answer 24

Again, I'm not so gifted in the Mathematical section. > . >

Answer 25

Do you just need the answer?