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What are the slope and (y)-intercept of the line (y=-9)?

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Answer and explanation

Correct answer: Slope 0 and y-intercept -9

In the equation y = -9, the value of y remains constant for every value of x. Therefore, it is a horizontal line parallel to the x-axis, so its slope is 0. Putting x = 0 gives y = -9, hence the y-intercept is -9. Option B has the correct slope but the wrong sign for the y-intercept. Exam tip: every line of the form y = c has slope 0 and y-intercept c.

Tags

slopey-intercepthorizontal linelinear equationscoordinate geometry

Frequently asked questions

What is the correct answer to this question?

Slope 0 and y-intercept -9

Why is this the correct answer?

In the equation y = -9, the value of y remains constant for every value of x. Therefore, it is a horizontal line parallel to the x-axis, so its slope is 0. Putting x = 0 gives y = -9, hence the y-intercept is -9. Option B has the correct slope but the wrong sign for the y-intercept. Exam tip: every line of the form y = c has slope 0 and y-intercept 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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