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What is the (y)-intercept of the equation (y-7=-3x)?
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Answer and explanation
Correct answer: \(7\)
Moving 7 to the right gives \(y=-3x+7\). To find the \(y\)-intercept, put \(x=0\); then \(y=7\). Hence, the \(y\)-intercept is \(7\). Here, \(-3\) is the slope, not the \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) is the \(y\)-intercept.
Frequently asked questions
What is the correct answer to this question?
\(7\)
Why is this the correct answer?
Moving 7 to the right gives \(y=-3x+7\). To find the \(y\)-intercept, put \(x=0\); then \(y=7\). Hence, the \(y\)-intercept is \(7\). Here, \(-3\) is the slope, not the \(y\)-intercept. Exam tip: in \(y=mx+c\), \(c\) is 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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