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If the line (y=mx+c) cuts the (y)-axis at ((0,4)), what is (c)?

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Answer and explanation

Correct answer: 4

In the form (y=mx+c), (c) represents the y-intercept. The line meets the y-axis at (0,4), so the y-coordinate of the intercept is 4; hence (c=4). It would be -4 only if the intercept were (0,-4). Exam tip: the x-coordinate of every point on the y-axis is 0.

Related tags

Linear EquationsSlope Intercept FormY-InterceptCoordinate GeometryGrade 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

4

Why is this the correct answer?

In the form (y=mx+c), (c) represents the y-intercept. The line meets the y-axis at (0,4), so the y-coordinate of the intercept is 4; hence (c=4). It would be -4 only if the intercept were (0,-4). Exam tip: the x-coordinate of every point on the y-axis is 0.

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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