If the two lines (y=(p+1)x+5) and (y=6x-3) have the same slope, what is (p)?
Answer and explanation
Correct answer: 5
In the form \(y=mx+c\), \(m\) represents the slope. The slopes of the first and second lines are \(p+1\) and \(6\), respectively. For equal slopes, \(p+1=6\), so \(p=5\). If 6 were chosen, the first slope would be 7, not 6. Exam tip: identify the coefficient of \(x\) when comparing slopes.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
In the form \(y=mx+c\), \(m\) represents the slope. The slopes of the first and second lines are \(p+1\) and \(6\), respectively. For equal slopes, \(p+1=6\), so \(p=5\). If 6 were chosen, the first slope would be 7, not 6. Exam tip: identify the coefficient of \(x\) when comparing slopes.
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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