Check my work for A, B, and C and help with D?
Question: Identify which lines are parallel. a) y = 4x b) y = -x - 3 c) 12x - 3y = 6 d) 4(y + 6) = x - 3.
Answer: A: y = 4x, slope = 4.
B: y = - 1/4x - 3, slope = - 1/4
C: 12x - 3y = 6, looks like we have to solve for y on this one. 12x - 12x - 3y = 6 - 12x = 3y = - 12x + 6 = 3y/3 = ( - 12x + 6)/3 = y = - 12/3x + 6/3 = y = - 4x + 2, slope = - 4.
D: 4(y + 6) = x - 3

Question

Check my work for A, B, and C and help with D?
Question: Identify which lines are parallel. a) y = 4x       b) y = -x - 3      c)  12x - 3y = 6      d)  4(y + 6) = x - 3.
Answer:  A: y = 4x, slope = 4.
B: y = - 1/4x - 3, slope = - 1/4
C: 12x - 3y = 6, looks like we have to solve for y on this one. 12x - 12x - 3y = 6 - 12x = 3y = - 12x + 6 = 3y/3 = ( - 12x + 6)/3 = y = - 12/3x + 6/3 = y = - 4x + 2, slope = - 4.
D: 4(y + 6) = x - 3

swissgirl · Answer

Why is the slope -1/4 for B? Can you retype the equation for B

swissgirl · Answer

For starters parallel lines must have the same slope

swissgirl · Answer

As you have stated the slope of A is 4

anonymous · Answer

Equation B is y = - 1/4x - 3.
The slope is  - 1/4x because we're using the slope intercept form y = mx + b. m = slope

swissgirl · Answer

Ok so the slope for B  is -1/4

The slope for C is 4 

The slope for D is 1/4

So A and C are parallel lines