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At what (y)-value does the line (y=7x+20) cut the (y)-axis?
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Answer and explanation
Correct answer: 20
At every point on the y-axis, \(x=0\). Substituting \(x=0\) in \(y=7x+20\) gives \(y=7(0)+20=20\). Therefore, the line cuts the y-axis at \(y=20\). Here, \(7\) is the slope, not the y-intercept. Exam tip: in \(y=mx+c\), the y-intercept is \(c\).
Frequently asked questions
What is the correct answer to this question?
20
Why is this the correct answer?
At every point on the y-axis, \(x=0\). Substituting \(x=0\) in \(y=7x+20\) gives \(y=7(0)+20=20\). Therefore, the line cuts the y-axis at \(y=20\). Here, \(7\) is the slope, not the y-intercept. Exam tip: in \(y=mx+c\), the y-intercept is \(c\).
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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