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The line (y=-7x+c) has (y)-intercept (3). What will (y) be at (x=-2)?

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Answer and explanation

Correct answer: 17

In the form y=-7x+c, the y-intercept is c. Since the y-intercept is 3, c=3. Substituting x=-2 gives y=-7(-2)+3=14+3=17. Hence, 17 is correct. The value 14 comes only from -7(-2); the y-intercept 3 must also be added. Exam tip: When the y-intercept is given, use it as the constant term c.

Tags

linear equationsslopey-interceptsubstitutioncoordinate geometry

Frequently asked questions

What is the correct answer to this question?

17

Why is this the correct answer?

In the form y=-7x+c, the y-intercept is c. Since the y-intercept is 3, c=3. Substituting x=-2 gives y=-7(-2)+3=14+3=17. Hence, 17 is correct. The value 14 comes only from -7(-2); the y-intercept 3 must also be added. Exam tip: When the y-intercept is given, use it as the constant term 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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