Answered

In the xy

xy-plane, line l

l passes through the origin and is perpendicular to the line with equation 5x−2y=8

5x-2y=8

. Which of the following could be an equation of line l

l

?



A



5x−2y=8

5x-2y=8




B



y=

2

5

x

y=25x




C



2x+5y=0

2x+5y=0




D



y=−

5

2

x+4

y=-52x+4

Verified Answer :

sqdancefan

The equation for a perpendicular line through the origin can be written by swapping the x- and y-coefficients and negating one. When you do that, you get ...
   C. 2x + 5y = 0

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