Find the equation of the line through point (4,−1) and perpendicular to y=x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

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01-04-2021
Mathematics

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Find the equation of the line through point (4,−1) and perpendicular to y=x+2. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

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meowmeow223334 meowmeow223334 · Answer 1 · 2021-04-01T04:01:26+02:00

meowmeow223334 meowmeow223334

01-04-2021

Perpendicular = opposite sign and reciprocal slope
Y = x + 2 (has slope is 1)
-1/1 = -1
Y = -1x + b
Plug in the point
-1 = -1(4) + b
-1 = -4 + b, b = 3
Solution: y = -x + 3

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