3 years ago

A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

6 0

9514 1404 393

Answer:

y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

m = (y2 -y1)/(x2 -x1)

m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

m' = -1/(1/3) = -3

A perpendicular line is ...

y = -3x

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