If (y=(m-2)x-5) and (y=6x+(m-9)) have the same (y)-intercept, what is (m)?
Answer and explanation
Correct answer: 4
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). The first line has \(y\)-intercept \(-5\), while the second has \(y\)-intercept \(m-9\). For equal intercepts, \(m-9=-5\), so \(m=4\). If \(m=5\), the second intercept would be \(-4\), not \(-5\). Exam tip: put \(x=0\) to find a \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). The first line has \(y\)-intercept \(-5\), while the second has \(y\)-intercept \(m-9\). For equal intercepts, \(m-9=-5\), so \(m=4\). If \(m=5\), the second intercept would be \(-4\), not \(-5\). Exam tip: put \(x=0\) to find 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.
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