The line (y=(r+4)x+(r-2)) has slope (1). What is its (y)-intercept?
Answer and explanation
Correct answer: \(-5\)
A line in the form \(y=mx+c\) has slope \(m\) and y-intercept \(c\). Here, the slope is \(r+4\). Thus, \(r+4=1\), giving \(r=-3\). Therefore, the y-intercept is \(r-2=-3-2=-5\). Note that \(-3\) is the value of \(r\), not the y-intercept. Exam tip: first find the parameter from the slope, then substitute it into the constant term.
Frequently asked questions
What is the correct answer to this question?
\(-5\)
Why is this the correct answer?
A line in the form \(y=mx+c\) has slope \(m\) and y-intercept \(c\). Here, the slope is \(r+4\). Thus, \(r+4=1\), giving \(r=-3\). Therefore, the y-intercept is \(r-2=-3-2=-5\). Note that \(-3\) is the value of \(r\), not the y-intercept. Exam tip: first find the parameter from the slope, then substitute it into the constant term.
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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