What is the slope of #32=-42y+5x#?

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Answer 1 · 2016-03-09T15:17:17

Gradient (slope) is #5/42#

#color(blue)("By sight: slope is "5/42)#

'~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("By algebraic manipulation")#

Multiply both sides by (-1) giving to give us a positive #y#

#-32=42y-5x#

Add #5x# to both sides

#42y=5x-32#

Divide both sides by 42

#y= 5/42x-32#

The coefficient of #x" is "5/42#

#color(blue)("Gradient (slope) is "5/42)#