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The line (y=5x+c) cuts the (y)-axis at ( (0,-3) ). What is (c)?
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Answer and explanation
Correct answer: -3
For every point on the y-axis, x=0. Substituting x=0 in y=5x+c gives y=c. The given y-intercept is (0,-3), so c=-3. If c were 3, the line would meet the y-axis at (0,3), not at the given point. Exam tip: in y=mx+c, c is directly the y-intercept.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
For every point on the y-axis, x=0. Substituting x=0 in y=5x+c gives y=c. The given y-intercept is (0,-3), so c=-3. If c were 3, the line would meet the y-axis at (0,3), not at the given point. Exam tip: in y=mx+c, c is directly 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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