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If (y=(m-1)x+6) and (y=2x-8) have equal slopes, what is (m)?

Answer and explanation

Correct answer: 3

In the form \(y=mx+c\), the coefficient of \(x\) is the slope. The slopes of the first and second lines are \(m-1\) and \(2\), respectively. Equal slopes give \(m-1=2\), so \(m=3\). If 2 were chosen, the first slope would be 1, not equal to the second slope. Exam tip: identify the coefficient of \(x\) directly to find the slope.

Related tags

Linear EquationsSlopeY-InterceptParameterCoordinate GeometryClass 9 MathematicsSlope And Y InterceptIntroduction To Polynomials

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