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The line (y=(n-5)x+(2n+1)) has (y)-intercept (11). What is its slope?
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A line in the form y=mx+c has y-intercept c. Here, 2n+1=11, so 2n=10 and n=5. Therefore, the slope is n-5=5-5=0. Option 1 cannot be the slope because substituting n=5 makes the coefficient of x zero. Exam tip: In y=mx+c, the coefficient of x is always the slope.
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Why is this the correct answer?
A line in the form y=mx+c has y-intercept c. Here, 2n+1=11, so 2n=10 and n=5. Therefore, the slope is n-5=5-5=0. Option 1 cannot be the slope because substituting n=5 makes the coefficient of x zero. 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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