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? 
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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( 300, 300, -5, 5, -10, 10,-x/7-8/7,7x+2,7x-2) }}}