Math, asked by Akanshasingh8406, 1 year ago

What is the equation of line which is perpendicular on two line?

Answers

Answered by cooldiamond162
0

Please elaborate your question.

This question inapplicable and very confusing.

I'd be more than happy to answer your question if "you make more sense".

Answered by MrInvisible18
21

Answer:

Given the equation of a line: y=35x+2

 

Which equation given below is perpendicular to the given line?

Possible Answers:

y=−5/3 × x+7

y=−3/ 5 × x−2

y=−3/5 × x+5

y=−3/2 × x−4

y=5/3 × x+2

When looking at the equation of the given line, we know that the slope is 35 and the y-intercept is 2. Any line perpendicular to the given line will create a 90 degree angle with the given line.

 

Now, there are INFINITE lines perpendicular to the given line, all with different y-intercepts. So in other words, the line we are looking for will have no dependence on the y-intercept, as any y-intercept will do. What we do care about is the slope of the line.

 

The slope of any line perpendicular to a given line has a negative reciprocal of the slope. So for this problem:

given slope=3/5 → perpendicual slope=−5/3 

The only line that has this slope is

y=−5/3 × x+7

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