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The line (y=(n-3)x+(2n-5)) has (y)-intercept (7). What is its slope?

Answer and explanation

Correct answer: 3

A line in the form \(y=mx+c\) has \(c\) as its \(y\)-intercept. Here, \(2n-5=7\). Thus, \(2n=12\) and \(n=6\). Therefore, the slope is \(n-3=6-3=3\). Option 2 is not the slope; it does not result from substituting the value of \(n\). Exam tip: in \(y=mx+c\), the coefficient of \(x\) is always the slope.

Related tags

Linear EquationsSlopeY-InterceptParameter SubstitutionCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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