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Subjects

What are the slope and (y)-intercept of the line (y=12)?

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Answer and explanation

Correct answer: Slope 0 and y-intercept 12

In the line y=12, the value of y remains 12 at every point, so it is a horizontal line parallel to the x-axis. A horizontal line has slope 0, and it meets the y-axis at (0, 12); therefore, its y-intercept is 12. In option D, the slope is correct, but a y-intercept of -12 would represent the line y=-12. Exam tip: For every line of the form y=c, the slope is 0 and the y-intercept is c.

Tags

coordinate geometrylinear equationshorizontal lineslopey-interceptgrade 9 mathematics

Frequently asked questions

What is the correct answer to this question?

Slope 0 and y-intercept 12

Why is this the correct answer?

In the line y=12, the value of y remains 12 at every point, so it is a horizontal line parallel to the x-axis. A horizontal line has slope 0, and it meets the y-axis at (0, 12); therefore, its y-intercept is 12. In option D, the slope is correct, but a y-intercept of -12 would represent the line y=-12. Exam tip: For every line of the form y=c, the slope is 0 and 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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