SOLUTION: The line 6x + 9y=8 has slope of.

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Question 92469This question is from textbook Finite Mathematics
: The line 6x + 9y=8 has slope of. This question is from textbook Finite Mathematics

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)


6x%2B9y=8 Start with the given equation


6x%2B9y-6x=8-6x Subtract 6x from both sides


9y=-6x%2B8 Simplify


%289y%29%2F%289%29=%28-6x%2B8%29%2F%289%29 Divide both sides by 9 to isolate y


y+=+%28-6x%29%2F%289%29%2B%288%29%2F%289%29 Break up the fraction on the right hand side


y+=+%28-2%2F3%29x%2B8%2F9 Reduce and simplify


The original equation 6x%2B9y=8 (standard form) is equivalent to y+=+%28-2%2F3%29x%2B8%2F9 (slope-intercept form)


The equation y+=+%28-2%2F3%29x%2B8%2F9 is in the form y=mx%2Bb where m=-2%2F3 is the slope and b=8%2F9 is the y intercept.