The line (y=(n-3)x+(2n-5)) has (y)-intercept (7). What is its slope?
Answer and explanation
Correct answer: 3
A line in the form \(y=mx+c\) has \(c\) as its \(y\)-intercept. Here, \(2n-5=7\). Thus, \(2n=12\) and \(n=6\). Therefore, the slope is \(n-3=6-3=3\). Option 2 is not the slope; it does not result from substituting the value of \(n\). Exam tip: in \(y=mx+c\), the coefficient of \(x\) is always the slope.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
A line in the form \(y=mx+c\) has \(c\) as its \(y\)-intercept. Here, \(2n-5=7\). Thus, \(2n=12\) and \(n=6\). Therefore, the slope is \(n-3=6-3=3\). Option 2 is not the slope; it does not result from substituting the value of \(n\). Exam tip: in \(y=mx+c\), the coefficient of \(x\) is always 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.
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