sheluvsdc sheluvsdc
  • 20-12-2021
  • Mathematics
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What is the equation for the line that is perpendicular to 4x + 2y = 9 that goes through the point (- 8, 5)?

What is the equation for the line that is perpendicular to 4x 2y 9 that goes through the point 8 5 class=

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evgeniylevi
evgeniylevi evgeniylevi
  • 20-12-2021

Answer:

[tex]y=\frac{1}{2} x+9.[/tex]

Step-by-step explanation:

1) all the perpendicular lines are: 2x-4y=C, where C - unknown number;

2) if to substitute the coordinates (-8;5) into 2x-4y=C, then C=2*(-8)-4*5= -36;

3) if C= -36, then the required equation is: 2x-4y=-36 or y=1/2 x +9.

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