Find the equation of the line perpendicular to y=21x/4 that passes through (−3,5)

beefypy

beefypy

Answered question

2022-10-29

Find the equation of the line perpendicular to y = 21 4 x that passes through (−3,5)

Answer & Explanation

Adalyn Pitts

Adalyn Pitts

Beginner2022-10-30Added 15 answers

In the form y = mx + c for the equation of a straight line, m gives the slope of the line.
For any line perpendicular to this line, the slope is the negative reciprocal - 1 m .
Here, m= 21 4 . - 1 m = - 4 21
So, the equation of the perpendicular line through (−3,5) isy-5 = (/4/21)(x + 3)#.
This can be rearranged as 4x + 21y = 93.

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