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The line \(y=\frac{7}{8}x+c\) passes through ((16,25)). What is (c)?

Answer and explanation

Correct answer: 11

Since \((16,25)\) lies on the line, substitute \(x=16\) and \(y=25\): \(25=\frac{7}{8}\times16+c=14+c\). Hence, \(c=25-14=11\). Option 10 can result from an error in multiplication or subtraction. Exam tip: for \(y=mx+c\), use \(c=y-mx\) after substituting the given point.

Related tags

Linear EquationsSlope Intercept FormY-InterceptCoordinate GeometrySubstitutionSlope And Y InterceptIntroduction To PolynomialsMathematics

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