If (y=(2u+1)x+(u-2)) has (y)-intercept (6), what is the slope?
Answer and explanation
Correct answer: 17
In the form y=mx+c, the y-intercept is c. Here, u-2=6, so u=8. Therefore, the slope is m=2u+1=2(8)+1=17. Option 16 would result from incorrectly omitting the +1 term. Exam tip: first use the y-intercept to find the parameter, then substitute it into the slope expression.
Frequently asked questions
What is the correct answer to this question?
17
Why is this the correct answer?
In the form y=mx+c, the y-intercept is c. Here, u-2=6, so u=8. Therefore, the slope is m=2u+1=2(8)+1=17. Option 16 would result from incorrectly omitting the +1 term. Exam tip: first use the y-intercept to find the parameter, then substitute it into the slope expression.
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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