If the two lines (y=(q+3)x-6) and (y=11x+2) have the same slope, what is (q)?
Answer and explanation
Correct answer: \(8\)
In the form \(y=mx+c\), the coefficient of \(x\) is the slope. The slopes of the first and second lines are \(q+3\) and \(11\), respectively. For equal slopes, \(q+3=11\), so \(q=8\). If \(q=7\), the slope would be \(10\), not \(11\). Exam tip: while comparing slopes, use the coefficient of \(x\), not the constant terms such as \(-6\) or \(2\).
Frequently asked questions
What is the correct answer to this question?
\(8\)
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 \(q+3\) and \(11\), respectively. For equal slopes, \(q+3=11\), so \(q=8\). If \(q=7\), the slope would be \(10\), not \(11\). Exam tip: while comparing slopes, use the coefficient of \(x\), not the constant terms such as \(-6\) or \(2\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.
