SOLUTION: solving the linear equation for 5x+4y=5 Y=

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Question 268058: solving the linear equation for 5x+4y=5 Y=
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)


5x%2B4y=5 Start with the given equation


5x%2B4y-5x=5-5x Subtract 5x from both sides


4y=-5x%2B5 Simplify


%284y%29%2F%284%29=%28-5x%2B5%29%2F%284%29 Divide both sides by 4 to isolate y


y+=+%28-5x%29%2F%284%29%2B%285%29%2F%284%29 Break up the fraction on the right hand side


y+=+%28-5%2F4%29x%2B5%2F4 Reduce and simplify


The original equation 5x%2B4y=5 (standard form) is equivalent to y+=+%28-5%2F4%29x%2B5%2F4 (slope-intercept form)


The equation y+=+%28-5%2F4%29x%2B5%2F4 is in the form y=mx%2Bb where m=-5%2F4 is the slope and b=5%2F4 is the y intercept.