How are the two lines (y=3x+1) and (y=3x-5) related?
Answer and explanation
Correct answer: They are parallel lines with the same slope
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept. Both lines have \(m=3\), so they have the same slope. Their y-intercepts are \(1\) and \(-5\), respectively; hence, they are distinct parallel lines, not the same line. Exam tip: lines with equal slopes but different y-intercepts are parallel.
Frequently asked questions
What is the correct answer to this question?
They are parallel lines with the same slope
Why is this the correct answer?
In the form \(y=mx+c\), \(m\) is the slope and \(c\) is the y-intercept. Both lines have \(m=3\), so they have the same slope. Their y-intercepts are \(1\) and \(-5\), respectively; hence, they are distinct parallel lines, not the same line. Exam tip: lines with equal slopes but different y-intercepts are parallel.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
