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Find the value of x if line PQ is parallel to line RS where P(x,4),Q(3,2),R(-1,5) and S(2,4).

Sagot :

akposevictor

The value of x if lines PQ and RS are parallel is: x = 9.

What is the Slope of Parallel Lines?

The slope values of two lines that are parallel to each other are always the same.

Slope = change in y/change in x

Thus, since PQ and RS are parallel to each other, therefore, their slope will be equal.

Given:

P(x,4)

Q(3,2)

R(-1,5)

S(2,4)

Slope of PQ = Slope of RS

(4 - 2)/(3 - x) = (5 - 4)/(-1 - 2)

2/(3 - x) = 1/-3

Cross multiply

(2)(-3) = (1)(3 - x)

-6 = 3 - x

-6 - 3 = -x

-9 = -x

9 = x

x = 9

Therefore, the value of x if lines PQ and RS are parallel is: x = 9.

Learn more about slope of parallel lines on:

https://brainly.com/question/10790818

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