How do you answer this?

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1 Answer
Jim G.
Feb 11, 2018

#C=(1,-3)#

Explanation:

#• " parallel lines have equal slopes"#

#"since OABC is a square then AB and OC are parallel"#

#y=20-3x" is in "color(blue)"slope-intercept form"#

#"that is "y=mx+c" where m is the slope"#

#rArrm_(AB)=m_(OC)=-3#

#m_(OC)=(y-0)/(x-0)=y/x#

#rArry/x=-3rArry=-3x#

#"let C have coordinates "C=(x,y)#

#x=1toy=-3rArrC=(1,-3)#

#x=2toy=-3xx2=-6rArrC=(2,-6)#

#"possible coordinates for C are "C=(x,-3x)#

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