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The line (y=mx+5) passes through ( (-3,14) ). What is its slope?

Answer and explanation

Correct answer: \(-3\)

Substitute the point \((-3,14)\) in \(y=mx+5\): \(14=m(-3)+5\). Thus, \(14=-3m+5\), so \(-3m=9\) and \(m=-3\). Therefore, the slope is \(-3\). The number \(5\) is the y-intercept, not the slope. Exam tip: substitute the point's x- and y-coordinates in the line equation carefully.

Related tags

Slope Of A LineY-InterceptLinear EquationsCoordinate GeometrySubstitutionSlope And Y InterceptIntroduction To PolynomialsMathematics

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