What is the slope and intercept of #9x-6y=16#?

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Answer 1 · 2016-04-26T18:50:21

#slope=3/2#
#x=16/9#
#y=-8/3#

#"general line equation is given as " y=color(red)(m)*x+n#

#m:slope#

#9x-6y=16#

#6y=9x-16#

#y=9/6x-16/6#

#y=color(red)(9/6) x-16/6#

#slope=9/6=3/2#

#"intercepts:"#

#"for x intercept : y=0"#

#0=9/6x-16/6#

#9/6x=16/6#

#x=16/9#

#"for y intercept x=0"#

#y=9/6*0-16/6#

#y=-16/6#

#y=-8/3#