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line j passes through the points (0,0) and (c,d) line k passes through the points (0,0) and (-d,c) lines j and k are

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Answer:

Line J and Line K are perpendicular to each other.

Explanation:

To get this answer, pretend like you are going to calculate the slope of both lines. And let's give c and d random values.

c = 1

d = 2

Let's calculate the slope

with these coordinates (0,0) (1,2) and (0,0) (-2,1)

slope formula = y2 - y1 / x2 - x1

line J slope ⇒ 2 - 0 / 1 - 0 ⇒ 2/1

line K slope ⇒ 1 - 0 / -2 - 0 ⇒ 1/-2

the slope of line J is 2 and the slope of line K is -1/2

We know these lines are perpendicular to each other because the slope of the lines is the inverse of one another

Examples of inverse numbers:

3 is the inverse of -1/3

-2/3 is the inverse of 3/2

Extra tip: If two lines are parallel, they have the same slope

User Joe Iddon
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