If (y=-7x+s) and (y=4x-12) have the same (y)-intercept, what will (s) be?
Answer and explanation
Correct answer: \(-12\)
In the line equation \(y=mx+c\), the constant term \(c\) is the y-intercept. The y-intercept of \(y=-7x+s\) is \(s\), while that of \(y=4x-12\) is \(-12\). Since the intercepts are equal, \(s=-12\). Note that \(-7\) is the slope of the first line, not its y-intercept. Exam tip: put \(x=0\) to find the y-intercept.
Frequently asked questions
What is the correct answer to this question?
\(-12\)
Why is this the correct answer?
In the line equation \(y=mx+c\), the constant term \(c\) is the y-intercept. The y-intercept of \(y=-7x+s\) is \(s\), while that of \(y=4x-12\) is \(-12\). Since the intercepts are equal, \(s=-12\). Note that \(-7\) is the slope of the first line, not its y-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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