What is the relationship between the lines?
The lines intersect at one point
The lines are parallel but not identical
The lines are perpendicular
The lines are identical
Correct Answer: D
Choice D is the correct answer. Let's check if one equation is a multiple of the other.
Step 1: Divide the first equation by 5:
This is exactly the second equation!
Conclusion: The lines are identical (coincident)
This means infinitely many solutions—every point on one line is also on the other.
💡 Strategic Tip: Identical lines are also called "coincident lines" or "the same line."
Choice A is incorrect because intersecting at one point requires different slopes.
Choice B is incorrect because parallel but not identical would give no solution (different constants).
Choice C is incorrect because both lines have slope , not perpendicular slopes.