The line (y=ax+4) has slope (9). Which equation is correct?
Answer and explanation
Correct answer: \(y=9x+4\)
The line is in the form \(y=ax+4\), where the coefficient of \(x\), namely \(a\), is the slope and 4 is the y-intercept. Since the slope is 9, substituting \(a=9\) gives \(y=9x+4\). In \(y=4x+9\), the slope is 4, so it is not correct. Exam tip: In \(y=mx+c\), the coefficient \(m\) of \(x\) is the slope.
Frequently asked questions
What is the correct answer to this question?
\(y=9x+4\)
Why is this the correct answer?
The line is in the form \(y=ax+4\), where the coefficient of \(x\), namely \(a\), is the slope and 4 is the y-intercept. Since the slope is 9, substituting \(a=9\) gives \(y=9x+4\). In \(y=4x+9\), the slope is 4, so it is not correct. Exam tip: In \(y=mx+c\), the coefficient \(m\) of \(x\) is 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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