What is the slope of $9y=-18y+45x+3$ ?

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Answer 1 · 2016-04-22T13:21:34

$color(blue)(=>" slope "->m=45/27)$

Given: $" "9y=-18y+45+3$

Convert into standard for $y=mx+c$

Add $color(blue)(18y)$ to both sides

$color(brown)(9ycolor(blue)(+18y)=-18ycolor(blue)(+18y)+45x+3)$

$27y=0+45x+3$

Divide both sides by $color(blue)(27)$ giving:

$color(brown)(27/(color(blue)(27) )y=+45/(color(blue)(27))x+3/(color(blue)(27))$

But $27/27=1$

$y=45/27x+1/9$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Compare this to $y=mx+c$ where $m$ is the gradient (slope)

$color(blue)(=>" slope "->m=45/27)$

What is the slope of 9y=-18y+45x+39y=-18y+45x+3?