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The line (y=(4p-3)x-5) has slope (25). What will (p) be?

Answer and explanation

Correct answer: \(7\)

In the form \(y=mx+c\), the coefficient of \(x\) is the slope \(m\). Here, the slope is \(4p-3\). Equating it to the given slope, \(4p-3=25\), gives \(4p=28\) and hence \(p=7\). Therefore, option D is correct. If \(p=8\), the slope would be \(29\), not \(25\). Exam tip: compare the coefficient of \(x\) to find the slope.

Related tags

Slope Of A LineLinear EquationsParameter SolvingCoordinate GeometryAlgebraSlope And Y InterceptIntroduction To PolynomialsMathematics

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