Which line passes through the origin and has slope (9)?
Answer and explanation
Correct answer: \(y=9x\)
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. A line through the origin \((0,0)\) has \(c=0\). With slope \(9\), its equation is \(y=9x\), so option A is correct. Although \(y=9x+1\) has slope 9, its \(y\)-intercept is 1, so it does not pass through the origin. Exam tip: for a line through the origin, the constant term is always 0.
Frequently asked questions
What is the correct answer to this question?
\(y=9x\)
Why is this the correct answer?
The slope-intercept form of a line is \(y=mx+c\), where \(m\) is the slope and \(c\) is the \(y\)-intercept. A line through the origin \((0,0)\) has \(c=0\). With slope \(9\), its equation is \(y=9x\), so option A is correct. Although \(y=9x+1\) has slope 9, its \(y\)-intercept is 1, so it does not pass through the origin. Exam tip: for a line through the origin, the constant term is always 0.
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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