Which line passes through the origin?
Answer and explanation
Correct answer: \(y=4x\)
In the form \(y=mx+c\), \(c\) is the y-intercept. A line passes through the origin \((0,0)\) only when \(c=0\). In \(y=4x\), the constant term is 0, so substituting \(x=0\) gives \(y=0\). The other options have constant terms 2, −5, and 1, so they do not pass through the origin. Exam tip: test for the origin by substituting \(x=0\) and \(y=0\) in the equation.
Frequently asked questions
What is the correct answer to this question?
\(y=4x\)
Why is this the correct answer?
In the form \(y=mx+c\), \(c\) is the y-intercept. A line passes through the origin \((0,0)\) only when \(c=0\). In \(y=4x\), the constant term is 0, so substituting \(x=0\) gives \(y=0\). The other options have constant terms 2, −5, and 1, so they do not pass through the origin. Exam tip: test for the origin by substituting \(x=0\) and \(y=0\) 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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