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Which equation represents a line parallel to \(y=-3x+5\) and having a \(y\)-intercept of \(-2\)?

Answer and explanation

Correct answer: \(y=-3x-2\)

Parallel lines have equal slopes. The given line has slope \(-3\), while the required \(y\)-intercept is \(-2\); hence, in \(y=mx+c\), the equation is \(y=-3x-2\). Option D has the correct slope but intercept \(+2\). Exam tip: identify slope from the coefficient of \(x\) and intercept from the constant term.

Related tags

Linear EquationsSlopeY-InterceptParallel LinesCoordinate GeometryGrade 9 MathematicsSlope And Y InterceptIntroduction To Polynomials

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