jeffyfromsuper jeffyfromsuper
  • 10-06-2021
  • Mathematics
contestada

Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)

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SarahR049
SarahR049 SarahR049
  • 10-06-2021

Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

[tex]y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\ [/tex]

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

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