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