SOLUTION: Please answer ..what is the slope of the following line? 2x-3y=18 Thank you.

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Question 90532: Please answer ..what is the slope of the following line?
2x-3y=18
Thank you.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Converting Linear Equations in Standard form to Slope-Intercept Form (and vice versa)
Convert from standard form (Ax+By = C) to slope-intercept form (y = mx+b)


2x-3y=18 Start with the given equation


2x-3y-2x=18-2x Subtract 2x from both sides


-3y=-2x%2B18 Simplify


%28-3y%29%2F%28-3%29=%28-2x%2B18%29%2F%28-3%29 Divide both sides by -3 to isolate y


y+=+%28-2x%29%2F%28-3%29%2B%2818%29%2F%28-3%29 Break up the fraction on the right hand side


y+=+%282%2F3%29x-6 Reduce and simplify


The original equation 2x-3y=18 (standard form) is equivalent to y+=+%282%2F3%29x-6 (slope-intercept form)


The equation y+=+%282%2F3%29x-6 is in the form y=mx%2Bb where m=2%2F3 is the slope and b=-6 is the y intercept.