If (y=(b-9)x+(3b-2)) has slope (1), what is the (y)-intercept?
Answer and explanation
Correct answer: 28
In a linear equation, the coefficient of x is the slope. Here the slope is b-9, so b-9=1 gives b=10. The y-intercept is the constant term 3b-2. Thus, 3(10)-2=28, so 28 is correct. Getting 30 would mean forgetting to subtract 2. Exam tip: put x=0 to find the y-intercept.
Frequently asked questions
What is the correct answer to this question?
28
Why is this the correct answer?
In a linear equation, the coefficient of x is the slope. Here the slope is b-9, so b-9=1 gives b=10. The y-intercept is the constant term 3b-2. Thus, 3(10)-2=28, so 28 is correct. Getting 30 would mean forgetting to subtract 2. Exam tip: put x=0 to find the 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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