Find the equation of a line parallel to the given line: y = 2x + 4.

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

Question

Find the equation of a line parallel to the given line: y = 2x + 4. 

A.   y = 2x + 4  
B.   y = 2x  
C.   y = 1/2x + 4  
D.   y = -1/2x -4

anonymous · Answer

B as they have equal gradients...

anonymous · Answer

when placed in y=mx+b the m must be equal...

anonymous · Answer

@aceace kay thanks

anonymous · Answer

no probs

lgbasallote · Answer

the line is parallel so the slope of the parallel line is 2 (since this is the slope of y = 2x + 4) so that cancels out the last two choices because the slope of the last two choices are 1/2 and -1/2.

so your only choice now are the first and second choice.  however, the first choice is the exact same equation as the given. this is not a line parallel to the given equation because it's the line itself! they are just the same lines.

so by deduction the only choice left is your answer

anonymous · Answer

@lgbasallote thank you