If (y=-4x+q) and (y=7x-2) have the same (y)-intercept, what will (q) be?
Answer and explanation
Correct answer: \(-2\)
In the form \(y=mx+c\), the constant term \(c\) is the \(y\)-intercept. The \(y\)-intercept of \(y=-4x+q\) is \(q\), while that of \(y=7x-2\) is \(-2\). Since the intercepts are equal, \(q=-2\). Note that \(-4\) is the slope of the first line, not its \(y\)-intercept. Exam tip: put \(x=0\) to find a \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(-2\)
Why is this the correct answer?
In the form \(y=mx+c\), the constant term \(c\) is the \(y\)-intercept. The \(y\)-intercept of \(y=-4x+q\) is \(q\), while that of \(y=7x-2\) is \(-2\). Since the intercepts are equal, \(q=-2\). Note that \(-4\) is the slope of the first line, not its \(y\)-intercept. Exam tip: put \(x=0\) to find a \(y\)-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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