please help?

Question

1. Choose the TWO equations that represent parallel lines.

A. 2x - y = -4

B. x - 2y = -8

C. x + 2y = -8

D. x - 2y = 12

Answer 1

Answer B and D
First you have write equations in y=mx+c form
ie for A is y=2x+4 and here m =2 like wise
for B, m=1/2
C, m= -1/2
D, m=1/2

Lines are parallel if slopes are equal.
So B and D are parallel lines.

Answer 2

I would first put each equation into "slope" form (y = mx + b):

A) -y = -2x - 4 => y = 2x + 4
B) -2y = -x - 8 => y = (1/2)x + 4
C) 2y = -x - 8 => y = (-1/2)x - 4
D) -2y = -x - 12 => y = (1/2)x + 6

In the equation, y = mx + b, m is the slope (b is the y-intercept). Also, parallel lines have the same slope (the same value of m).

Therefore, B and D are parallel.

Answer 3

Put equations into y=mx+b format, the lines that have the same m but different b's will be parallel.

A) 2x-y=-4
2x=y-4
2x+4 = y
y=2x+4

B) x-2y=-8
x=-8+2y
x+8=2y
x/2 + 4 = y
y=1/2 x + 4

C) x+2y=-8
2y=-x-8
y=-1/2 x -4

D) x-2y=12
x=2y+12
x-12=2y
1/2x - 6 = y
y=1/2 x - 6

So, our choices are:
A) y=2x+4
B) y=1/2 x + 4
C) y=-1/2 x -4
D) y=1/2 x - 6

Both B and D have the same slope (m) and different y-intercepts (b), so they are parallel lines.

Answer 4

Find which have the same slope.

[y = mx + b] --> is the equation where m = slope.
Put each into this form to see which are parallel.

A. 2x - y = -4
-y = -2x - 4
y = (2)x + 4

B. x - 2y = -8
-2y = -x - 8
y = (1/2)x + 4

C. x + 2y = -8
2y = -x - 8
y = (-1/2)x - 4

D. x - 2y = 12
-2y = -x + 12
y = (1/2)x - 6

So, it's B & D, they have the same slope. m = (1/2)

Answer 5

B and D are parallel.

B can be written as -2y = -x - 8 or 2y = x + 8

D can be written as - 2y = -x + 12 or 2y = x - 12

They are parallel and are separated by y = 20

Answer 6

in order to be parallel, they must contain the same slope, in other words, the same coefficient before the "x", as a common line form: y = mx + b where m is the slope and b is the y-intercept..

A) y = 2x + 4
B) y = 1/2x - 4
C) y = -1/2x - 4
D) y = 1/2x - 6

ANSWERS: B and D -- with common slopes of 1/2. (NOTE: We are not concerned about where they intersect the y-axis -- that is irrelevant with parallel lines).

Answer 7

Two lines are parallel if they have the same slope, but a different intercept. In the form show above, they will be parallel when the left-hand sides of the equation are the same, but the numbers on the right are different.

Now, you can finish...

Answer 8

B. x - 2y = -8
D. x - 2y = 12
if they have the same slope, they will be parallel
B and D both have a slope of -2

Answer 9

a. y = -2x + 4
b. y = .5x + 4
c. y = .5x - 4
d. y = .5x - 6

So, a and b are parallel because they have the same slope. (+4)

Answer 10

A and B