If (y=(3a-2)x+(a+1)) has (y)-intercept (6), what is the slope?
Answer and explanation
Correct answer: 13
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). Here, \(a+1=6\), so \(a=5\). Therefore, the slope is \(m=3a-2=3(5)-2=13\). Option 12 would result from incorrectly ignoring the \(-2\). Exam tip: first use the \(y\)-intercept to find the parameter, then substitute it into the coefficient of \(x\).
Frequently asked questions
What is the correct answer to this question?
13
Why is this the correct answer?
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). Here, \(a+1=6\), so \(a=5\). Therefore, the slope is \(m=3a-2=3(5)-2=13\). Option 12 would result from incorrectly ignoring the \(-2\). Exam tip: first use the \(y\)-intercept to find the parameter, then substitute it into the coefficient of \(x\).
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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