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The line (y=mx+7) passes through ( (-2,1) ). What is its slope?

Answer and explanation

Correct answer: 3

Substitute the point (-2,1) into y=mx+7: 1=m(-2)+7. Thus, 1=-2m+7, so -2m=-6 and m=3. Therefore, the slope is 3. If m were -3, the y-coordinate would be 13, not 1. Exam tip: substitute both coordinates carefully, especially when the x-coordinate is negative.

Related tags

Slope Of A LineLinear EquationsCoordinate GeometrySubstitutionY-InterceptSlope And Y InterceptIntroduction To PolynomialsMathematics

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