The line (y=ax-3) has slope (-6). Which equation is correct?
Answer and explanation
Correct answer: \(y=-6x-3\)
In the form \(y=ax-3\), the coefficient of \(x\), namely \(a\), is the slope. Since the given slope is \(-6\), substituting \(a=-6\) gives \(y=-6x-3\). In option C, \(-6\) is the constant term, not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\), \(m\), is always the slope.
Frequently asked questions
What is the correct answer to this question?
\(y=-6x-3\)
Why is this the correct answer?
In the form \(y=ax-3\), the coefficient of \(x\), namely \(a\), is the slope. Since the given slope is \(-6\), substituting \(a=-6\) gives \(y=-6x-3\). In option C, \(-6\) is the constant term, not the slope. Exam tip: In \(y=mx+c\), the coefficient of \(x\), \(m\), is always 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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