Which line passes through the origin and has slope (11)?
Answer and explanation
Correct answer: \(y=11x\)
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 has \(c=0\). Since the slope is 11, its equation is \(y=11x\). Although \(y=11x+1\) also has slope 11, it does not pass through the origin because its \(y\)-intercept is 1. Exam tip: Substitute \(x=0\) to check whether the line passes through the origin.
Frequently asked questions
What is the correct answer to this question?
\(y=11x\)
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 has \(c=0\). Since the slope is 11, its equation is \(y=11x\). Although \(y=11x+1\) also has slope 11, it does not pass through the origin because its \(y\)-intercept is 1. Exam tip: Substitute \(x=0\) to check whether the line passes through the origin.
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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