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A student says that the \(y\)-intercept of the line \(y=-2x+5\) is \(-2\). Which is the correct correction of the student's error?

Answer and explanation

Correct answer: The \(y\)-intercept is 5 and the slope is \(-2\).

In \(y=mx+c\), \(m\) is the slope and \(c\) is the \(y\)-intercept. Substituting \(x=0\) gives \(y=5\), so A is correct; \(-2\) is the slope. Exam tip: identify the constant term first.

Related tags

Linear EquationsSlopeY-InterceptCoordinate GeometryMathematics MisconceptionsSlope And Y InterceptIntroduction To PolynomialsMathematics

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