Which line has (y)-intercept (0) and slope (-6)?
Answer and explanation
Correct answer: \(y=-6x\)
A line can be written as \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=-6\) and \(c=0\), so the equation is \(y=-6x\). Although \(y=6x\) also has y-intercept 0, its slope is \(+6\). Exam tip: In \(y=mx+c\), the coefficient of x gives the slope.
Frequently asked questions
What is the correct answer to this question?
\(y=-6x\)
Why is this the correct answer?
A line can be written as \(y=mx+c\), where \(m\) is the slope and \(c\) is the y-intercept. Here, \(m=-6\) and \(c=0\), so the equation is \(y=-6x\). Although \(y=6x\) also has y-intercept 0, its slope is \(+6\). Exam tip: In \(y=mx+c\), the coefficient of x gives the slope.
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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