If the line (y=(3k+2)x-5) has slope (11), what is (k)?
Answer and explanation
Correct answer: \(3\)
In the slope-intercept form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Here, the slope is \(3k+2\). Since \(3k+2=11\), we get \(3k=9\) and hence \(k=3\). Therefore, option B is correct. If \(k=4\), the slope would be \(14\), not \(11\). Exam tip: In \(y=mx+c\), identify \(m\) directly as the slope.
Frequently asked questions
What is the correct answer to this question?
\(3\)
Why is this the correct answer?
In the slope-intercept form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Here, the slope is \(3k+2\). Since \(3k+2=11\), we get \(3k=9\) and hence \(k=3\). Therefore, option B is correct. If \(k=4\), the slope would be \(14\), not \(11\). Exam tip: In \(y=mx+c\), identify \(m\) directly 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
