Is the line that passes through (8,-4) and (3,6) perpendicular To y=1/2x-4? Show your work if you can

Thank you!

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  yes, the lines are perpendicular

Step-by-step explanation:

A graph of the line through the points (8, -4) and (3, 6) shows it has a slope of -2. That is the opposite reciprocal of the slope of 1/2 that the given line has.

When two lines have opposite reciprocal slopes, they are perpendicular.

The lines are perpendicular.

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If you like you can compute the slope using the slope equation:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -(-4))/(3 -8) = 10/-5 = -2

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