Question

Which line is parallel to the line that passes through the points
(2, –5) and (–4, 1)?

Answer 1

firsy you need to find the slope...do you know how to do that ?

Answer 2

yes, (y2-y1), (x2-x1)

Answer 3

(y2 - y1) / (x2 - x1)....do not forget to divide

Answer 4

so find the slope and tell me what you get

Answer 5

6/-6 ?

Answer 6

which reduces to -1
understand ?

Answer 7

yes, then what's next ?

Answer 8

a parallel line will have the same slope.
So now we will use this formula : y - y1 = m(x - x1)
you can use either of your points and of course m = -1.
Does that make sense to you ?

Answer 9

let me get you started...
y - y1 = m(x - x1) using slope(m) = -1 and points (2,-5)
y - (-5) = -1(x - 2)
do you see how I got that ?

Answer 10

yes

Answer 11

lets continue...
y - (-5) = -1(x - 2)
y + 5 = -x + 2
we now want to get y by itself, so we subtract 5 from both sides
y = -x + 2 - 5
combine like terms
y = -x - 3
understand ?

Answer 12

yes, what's next

Answer 13

that is your equation, unless it needs to be in Ax + By = C form.....does it ?

Answer 14

i don't think so because it's just asking what y equals, but y=-x-3 is not an option

Answer 15

let me try your other points...hold on

Answer 16

the options are;
y= -x-5
y= -2/3x+3
y= 2/3x-2
y= x+5

Answer 17

y - y1 = m(x - x1) using slope -1 and points (-4,1)
y - 1 = -1(x -(-4)
y - 1 = -1(x + 4)
y - 1 = -x - 4
y = -x - 4 + 1
y = -x - 3.....same answer

let me check the slope
m = (y2 - y1) / (x2 - x1)
m = 1 - (-5) / (-4 - 2)
m = (1 + 5) / -6
m = 6/-6 = -1

hmmm....are you sure those are the right answer choices ?

Answer 18

Is the question written correctly ? It is asking for parallel line and not perpendicular, right ?

Answer 19

"Which line is parallel to the line that passes through the points " is what the question is asking exactly. That's why I'm confused too

Answer 20

The points are written correctly ?

Answer 21

Here is the question exactly:
Which line is parallel to the line that passes through the points
(2, –5) and (–4, 1)?
A. y= -x-5
B. y= -2/3x+3
C. y= 2/3x-2
D. y= x+5

Answer 22

I do not see anything wrong with the way I did it.
@gypsy1274 ......please check this

Answer 23

yes, please. I really need help with this question

Answer 24

dont worry...gypsy is good

Answer 25

I hope so. Thank you so much by the way!!!

Answer 26

The only thing you need to find here is the parallel line so the only value you should be concerned with is the slope.

Answer 27

the slope is -1, but jaytag needs the line parallel .......is the -3 wrong

Answer 28

The slope is -1 so you are looking for a line with a slope of -1.
In the form y=mx+b -> m=slope

Answer 29

I see.....jaytag, which answer has a -1 as the slope ?

Answer 30

You are doing too much work. The y-intercept is irrelevant in this question.

Answer 31

thank you so much Gypsy, I knew you could straighten this out

Answer 32

So, the answer would be

A. y=-x-5?

Answer 33

yes....thanks to Gypsy

Answer 34

Thank you both so much!!!

Answer 35

sorry...I probably got you really confused

Answer 36

@texaschic101 There was nothing wrong with what you did, you just went a few more steps than necessary.
:-)

Answer 37

I have a problem with making things harder then they really are :(