If (y=(k+2)x-4) and (y=3x+(k-1)) have the same (y)-intercept, what is (k)?
Answer and explanation
Correct answer: \(-3\)
In the form \(y=mx+c\), the constant term \(c\) is the \(y\)-intercept. The first line has \(y\)-intercept \(-4\), while the second has \(k-1\). For equal intercepts, \(k-1=-4\), so \(k=-3\). If \(-2\) were used, the second intercept would be \(-3\), not \(-4\). Exam tip: set \(x=0\) to identify a \(y\)-intercept.
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 constant term \(c\) is the \(y\)-intercept. The first line has \(y\)-intercept \(-4\), while the second has \(k-1\). For equal intercepts, \(k-1=-4\), so \(k=-3\). If \(-2\) were used, the second intercept would be \(-3\), not \(-4\). Exam tip: set \(x=0\) to identify a \(y\)-intercept.
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.
