Find the slope of a line perpendicular to 3x+y=15

gemuntertjx

gemuntertjx

Answered question

2022-09-10

Find the slope of a line perpendicular to 3x+y=15

Answer & Explanation

Leon Webster

Leon Webster

Beginner2022-09-11Added 17 answers

Either just use the answer above, asserting the - 1 m formula, or show it geometrically as follows:
Starting with 3 x + y = 15 , first reflect the line in the 45 o line x=y, by swapping x and y...
3 y + x = 15
Then reflect in the y axis by reversing the sign of x
3 y - x = 15
These two geometric steps are equivalent to rotating by a right angle centblack on the origin.
Next add x to both sides to get:
3 y = x + 15
Finally divide both sides by 3 to get:
y = 1 3 x + 5
This is in slope-intercept format with slope 1 3

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