SOLUTION: find the slope and y-intercept of the line 9x-3y=54

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Question 119889: find the slope and y-intercept of the line 9x-3y=54
Answer by jim_thompson5910(35256) About Me  (Show Source):
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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)


9x-3y=54 Start with the given equation


9x-3y-9x=54-9x Subtract 9x from both sides


-3y=-9x%2B54 Simplify


%28-3y%29%2F%28-3%29=%28-9x%2B54%29%2F%28-3%29 Divide both sides by -3 to isolate y


y+=+%28-9x%29%2F%28-3%29%2B%2854%29%2F%28-3%29 Break up the fraction on the right hand side


y+=+3x-18 Reduce and simplify


The original equation 9x-3y=54 (standard form) is equivalent to y+=+3x-18 (slope-intercept form)


The equation y+=+3x-18 is in the form y=mx%2Bb where m=3 is the slope and b=-18 is the y intercept.