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The line (y=-8x+c) has (y)-intercept (5). What will (y) be at (x=-2)?

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Answer and explanation

Correct answer: 21

A y-intercept of 5 means that when x=0, y=5; therefore, c=5. The equation is y=-8x+5. Substituting x=-2 gives y=-8(-2)+5=16+5=21. Option 20 may seem close, but it does not result from adding the constant term 5 correctly. Exam tip: When substituting a negative value of x, check the sign of the product carefully.

Tags

linear equationsy-interceptslopesubstitutioncoordinate geometry

Frequently asked questions

What is the correct answer to this question?

21

Why is this the correct answer?

A y-intercept of 5 means that when x=0, y=5; therefore, c=5. The equation is y=-8x+5. Substituting x=-2 gives y=-8(-2)+5=16+5=21. Option 20 may seem close, but it does not result from adding the constant term 5 correctly. Exam tip: When substituting a negative value of x, check the sign of the product carefully.

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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