The line (y=ax-5) has slope (-7). Which equation is correct?
Answer and explanation
Correct answer: \(y=-7x-5\)
The line is in the form \(y=ax-5\), where the coefficient of \(x\), namely \(a\), is the slope, while \(-5\) is the y-intercept. Since the slope is \(-7\), substituting \(a=-7\) gives \(y=-7x-5\). In option C, \(-7\) is the constant term, so its slope would be \(-5\). Exam tip: In \(y=mx+c\), the coefficient of \(x\) is always the slope \(m\).
Frequently asked questions
What is the correct answer to this question?
\(y=-7x-5\)
Why is this the correct answer?
The line is in the form \(y=ax-5\), where the coefficient of \(x\), namely \(a\), is the slope, while \(-5\) is the y-intercept. Since the slope is \(-7\), substituting \(a=-7\) gives \(y=-7x-5\). In option C, \(-7\) is the constant term, so its slope would be \(-5\). Exam tip: In \(y=mx+c\), the coefficient of \(x\) is always the slope \(m\).
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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