The line (y=(2p-3)x+6) has slope (13). What will (p) be?
Answer and explanation
Correct answer: \(8\)
In the form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Here, the slope is \(2p-3\), so \(2p-3=13\). Hence, \(2p=16\) and \(p=8\). If \(p=7\), the slope would be \(2(7)-3=11\), not 13. Exam tip: To identify the slope, look at the coefficient of \(x\).
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 \(m\). Here, the slope is \(2p-3\), so \(2p-3=13\). Hence, \(2p=16\) and \(p=8\). If \(p=7\), the slope would be \(2(7)-3=11\), not 13. Exam tip: To identify the slope, look at the coefficient of \(x\).
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Slope and y-intercept.