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The line (y=(n-6)x+(3n-2)) has (y)-intercept (19). What is its slope?

Answer and explanation

Correct answer: 1

In the form \(y=mx+c\), the \(y\)-intercept is the constant term \(c\). Here, \(3n-2=19\), so \(3n=21\) and \(n=7\). Hence, the slope is \(n-6=7-6=1\). Option 2 could result from an incorrect calculation of \(n-6\). Exam tip: first use the constant term to find the parameter, then take the coefficient of \(x\) as the slope.

Related tags

Linear EquationsSlopeY-InterceptParameterCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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