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How do I find the slope of this altitude?

I am referring to question 19.

How do I find the slope of this altitude? I am referring to question 19.-example-1

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the Altitude from A on BC will be Perpendicular to the linr BC whose slope is 2/5, so the Altitudes slope will be negative reciprocal of 2/5 i.e -5/2

User Martin Reiner
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The altitude's slope must be perpendicular to that of the line.

The slope of segment BC is 2/5. The slope of the altitude must be perpendicular to 2/5. Since the negative reciprocal of 2/5 is -5/2, then the slope of the altitude is -5/2.
User Krispy
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