If (y=(m-1)x+6) and (y=2x-8) have equal slopes, what is (m)?
Answer and explanation
Correct answer: 3
In the form \(y=mx+c\), the coefficient of \(x\) is the slope. The slopes of the first and second lines are \(m-1\) and \(2\), respectively. Equal slopes give \(m-1=2\), so \(m=3\). If 2 were chosen, the first slope would be 1, not equal to the second slope. Exam tip: identify the coefficient of \(x\) directly to find the slope.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
In the form \(y=mx+c\), the coefficient of \(x\) is the slope. The slopes of the first and second lines are \(m-1\) and \(2\), respectively. Equal slopes give \(m-1=2\), so \(m=3\). If 2 were chosen, the first slope would be 1, not equal to the second slope. Exam tip: identify the coefficient of \(x\) directly to find 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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