Find the equation of the line that passes through (−1,1) and is perpendicular to the line that passes through the following points: (13,1),(−2,3)

Chelsea Pruitt

Chelsea Pruitt

Answered question

2022-10-16

Find the equation of the line that passes through (−1,1) and is perpendicular to the line that passes through the following points: (13,1),(−2,3)

Answer & Explanation

rcampas4i

rcampas4i

Beginner2022-10-17Added 22 answers

Slope m' of the line through points P(13,1)&Q(−2,3) is,
m = 1 - 3 13 - ( - 2 ) = - 2 15 .
So, if the slope of the reqd. line is m, then, as the reqd. line is
⊥ to the line P Q , m m = - 1 m = 15 2 .
Now, we use the Slope-Point Formula for the reqd. line, known to
be passing through the point (−1,1).
Thus, the eqn. of the reqd. line, is,
y - 1 = 15 2 ( x - ( - 1 ) ) , or , 2 y - 2 = 15 x + 15 .
15 x - 2 y + 17 = 0 .

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