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If the line (y=(3k+2)x-5) has slope (11), what is (k)?

Answer and explanation

Correct answer: \(3\)

In the slope-intercept form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Here, the slope is \(3k+2\). Since \(3k+2=11\), we get \(3k=9\) and hence \(k=3\). Therefore, option B is correct. If \(k=4\), the slope would be \(14\), not \(11\). Exam tip: In \(y=mx+c\), identify \(m\) directly as the slope.

Related tags

Slope Of A LineLinear EquationsParameter SolvingSlope Intercept FormCoordinate GeometrySlope And Y InterceptIntroduction To PolynomialsMathematics

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