Which line passes through the origin ((0,0))?
Answer and explanation
Correct answer: \(y=6x\)
A line of the form \(y=mx+c\) passes through the origin \((0,0)\) only when \(c=0\). In \(y=6x\), the constant term is 0, and substituting \(x=0\) gives \(y=0\). In contrast, \(y=5x+1\) has y-intercept 1, so it does not pass through the origin. Exam tip: To test for the origin, substitute \(x=0\) in the equation.
Frequently asked questions
What is the correct answer to this question?
\(y=6x\)
Why is this the correct answer?
A line of the form \(y=mx+c\) passes through the origin \((0,0)\) only when \(c=0\). In \(y=6x\), the constant term is 0, and substituting \(x=0\) gives \(y=0\). In contrast, \(y=5x+1\) has y-intercept 1, so it does not pass through the origin. Exam tip: To test for the origin, substitute \(x=0\) in the equation.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
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