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Linear Equations in One Variable

SAT Math· difficulty 4/5

For what value of bb is the line y=bx+1y = bx + 1 perpendicular to 4x−5y=104x - 5y = 10?

  • A

    −54-\frac{5}{4}

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  • B

    54\frac{5}{4}

  • C

    45\frac{4}{5}

  • D

    −45-\frac{4}{5}

Explanation

Slope of 4x−5y=104x - 5y = 10 is 45\frac{4}{5}. Perpendicular slope: −54-\frac{5}{4}. So b=−54b = -\frac{5}{4}.

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