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1 year ago

Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value

1 answer:

4 0

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

KL x ML = -1

-1.5 x 7/(3-2p) = -1

-10.5 = -3 + 2p

2p = -7.5

p = -3.75

More about the coordinate geometry link is given below.

brainly.com/question/1601567

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