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At what (y)-value does the line (y=3x+12) cut the (y)-axis?
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Answer and explanation
Correct answer: 12
At every point on the (y)-axis, (x=0). Substituting (x=0) in (y=3x+12) gives (y=3(0)+12=12). Hence, the line cuts the (y)-axis at (y=12). Here, (3) is the slope, not the (y)-intercept. Exam tip: in the form (y=mx+c), (c) is always the (y)-intercept.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
At every point on the (y)-axis, (x=0). Substituting (x=0) in (y=3x+12) gives (y=3(0)+12=12). Hence, the line cuts the (y)-axis at (y=12). Here, (3) is the slope, not the (y)-intercept. Exam tip: in the form (y=mx+c), (c) is always 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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