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Are this lines parallel? y=12x+4 and y=12x+14

2 Answers

3 votes

Final answer:

Both lines represented by the equations y=12x+4 and y=12x+14 have a slope of 12 but different y-intercepts, confirming that they are parallel.

Step-by-step explanation:

To determine whether the lines represented by the equations y=12x+4 and y=12x+14 are parallel, we must compare their slopes. In linear equations of the form y = mx + b, where m is the slope and b is the y-intercept, parallel lines must have identical slopes but different y-intercepts.

In this case, both lines have a slope of 12. The only difference between them is the y-intercept: one is 4 and the other is 14. This means that the lines never intersect and are indeed parallel. Thus, the lines represented by the equations y=12x+4 and y=12x+14 are parallel.

User HariKarthick
by
8.5k points
4 votes

Answer:

yes

Step-by-step explanation:

they both have the same slope, which is 12x they are just on different lines, at 4 and 14, but they never cross.

User ZoFreX
by
8.0k points

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