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.

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) (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?
***
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:

RELATED QUESTIONS
Find the equations of two straight lines which are parallel to the straight line x+7y+2=0 (answered by Alan3354)

Find the two equations of the lines parallel to the line x+2y-5 = 0 and passing at a... (answered by ikleyn,josgarithmetic)

Given an equation of a line, find equations for lines parallel or perpendicular to it... (answered by lynnlo)

)Find the equation of the line (in y = mx + c form) that: a)is perpendicular to the line (answered by oscargut)

Find the equation of the line a) parallel b) perpendicular to 2x-3y=6 and passing at a... (answered by KMST)

Hi! What are the equations of the lines through (8,-3) and passing at distance... (answered by ikleyn)

find the equation of the line perpendicular to the line 3x-7y+2=0 and passing through the (answered by checkley77)

I need help with the equations. Find the equation of the line given the following... (answered by ikleyn,Theo)

What is the equations of the line passing through (8,−2) and perpendicular to the... (answered by josmiceli,greenestamps)