If (y=-6x+s) and (y=2x-9) have the same (y)-intercept, what will (s) be?
Answer and explanation
Correct answer: \(-9\)
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). The \(y\)-intercept of \(y=-6x+s\) is \(s\), while that of \(y=2x-9\) is \(-9\). Since the intercepts are equal, \(s=-9\). Note that \(-6\) is the slope of the first line, not its intercept. Exam tip: put \(x=0\) to find the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(-9\)
Why is this the correct answer?
In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). The \(y\)-intercept of \(y=-6x+s\) is \(s\), while that of \(y=2x-9\) is \(-9\). Since the intercepts are equal, \(s=-9\). Note that \(-6\) is the slope of the first line, not its intercept. 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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