SOLUTION: What are the equations of the lines perpendicular to the line x + 7y + 8 = 0 and passing at a distance of 2 units from the origin? Thanks in advance.

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Question 903637: What are the equations of the lines perpendicular to the line x + 7y + 8 = 0 and passing at a distance of 2 units from the origin?
Thanks in advance.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What are the equations of the lines perpendicular to the line x + 7y + 8 = 0 and passing at a distance of 2 units from the origin?
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x+7y+8=0
7y=-x-8
y=-x/7-8/7
slope of perpendicular line=7(negative reciprocal)
equation:
y=7x-b
b=±2(2 units from origin)
2 equations:
y=7x±2
see graphs below:
+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C-x%2F7-8%2F7%2C7x%2B2%2C7x-2%29+