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Which of the following linear equations has a graph with a negative slope and a positive y-intercept?

Answer and explanation

Correct answer: \(2x+y=5\)

Writing \(2x+y=5\) in terms of y gives \(y=-2x+5\). Thus, the slope \(-2\) is negative and the y-intercept \(5\) is positive. Exam tip: rewrite the equation as \(y=mx+c\) and check the signs of \(m\) and \(c\).

Related tags

Linear EquationsSlopeY-InterceptCoordinate GeometryPolynomialsSlope And Y InterceptIntroduction To PolynomialsMathematics

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