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The line (y=(2a-1)x+3) has slope (7). What is (a)?
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Answer and explanation
Correct answer: 4
In the form \(y=mx+c\), \(m\) is the slope. Here, the coefficient of \(x\) is \(2a-1\), so \(2a-1=7\). Hence \(2a=8\) and \(a=4\). If \(a=3\), the slope would be \(2(3)-1=5\), not 7. Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as the slope.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
In the form \(y=mx+c\), \(m\) is the slope. Here, the coefficient of \(x\) is \(2a-1\), so \(2a-1=7\). Hence \(2a=8\) and \(a=4\). If \(a=3\), the slope would be \(2(3)-1=5\), not 7. Exam tip: In \(y=mx+c\), identify the coefficient of \(x\) as 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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