Question

Two lines are parallel. The first line passes through (6, 1), and its
y-intercept is (0, –11). Which of the following cannot be the equation of the second line?

Answer 1

@whpalmer4

Answer 2

What do you know about parallel lines?

Answer 3

in particular, what is the relationship between their slopes?

Answer 4

not much really so im trying to find someone that could tutor and help me on certain subjects

Answer 5

well both of the lines are parallel which means they both are positive and have the same slope

Answer 6

that's what I'm looking for, good!

Okay, we have the first line going through (6,1) and (0,-11). Can you find the slope from that?

Answer 7

yes hold on let me graph it

Answer 8

By the way, you haven't posted the answer choices yet, so it will be a bit awkward to get you all the way through this problem, given that you are supposed to identify which of the following CANNOT be an equation of the line...

Answer 9

ok hold on

Answer 10

actually, you don't need to graph to get the slope...

\[m = \frac{y_2-y_1}{x_2-x_1}\]where the line goes through points \((x_1,y_1)\) and \((x_2,y_2)\)

Answer 11

A.

B.
y = 2x + 8
C.

D.
y = –2x – 8

Answer 12

C.

Answer 13

ok c wont show

Answer 14

-12/-6

Answer 15

thats the slope

Answer 16

looks like A didn't show either.

can you reduce that fraction at all?

Answer 17

2

Answer 18

thats the reduced fraction

Answer 19

yes. so the slope of our first line is 2. What will be the slope of the other line?

Answer 20

2

Answer 21

that make the answer o this problem b

Answer 22

no, we need to know which equation CANNOT be the other line. These lines are parallel, so they have the same slope. If you see an equation which has a different slope, THAT's the one that is the correct answer choice, because it cannot be parallel if it has a different slope.

Answer 23

ok well d has a different slope with -2x

Answer 24

and a is -1/2 and c is 1/2

Answer 25

I'm sorry, can you type the equations of the answer choices?

Answer 26

ok and srry i put the wrong answer choices

Answer 27

A. y = 2x + 7 B. 2x + y = 6 C. 4x – 2y = 2 D. 6x = 3y – 2

Answer 28

Ah, they make us work a little harder :-)

Can you rearrange all of those so they are in the form y = mx + b? A doesn't need any changes, but the other 3 do.

Answer 29

im not sure how to do that though

Answer 30

Sure you do. Just solve each of those equations for y.

Answer 31

I'll do B:
\[2x+y = 6\]subtract \(2x\) from each side
\[2x-2x+y=6-2x\]\[y = -2x+6\]

Answer 32

C. \[4x-2y = 2\]\[-2y = 2-4x\]\[y = -1+2x = 2x - 1\]

Answer 33

D. \[6x=3y-2\]\[6x+2=3y\]\[y=2x+\frac{2}{3}\]

Answer 34

So, which of those 4 equations cannot be a parallel line to our first line?

Answer 35

hold on i want to right down how you did it so i know how the next time

Answer 36

and b

Answer 37

Yes, b is the correct answer choice, because it is the only one with a different slope than m=2.

Answer 38

yes thank you