SOLUTION: convert to slope-intercept form -4/7x+2/5y= 2/3

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Question 114028: convert to slope-intercept form
-4/7x+2/5y= 2/3
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)


%28-4%2F7%29x%2B%282%2F5%29y=2%2F3 Start with the given equation


105%28%28-4%2F7%29x%2B%282%2F5%29y%29=105%282%2F3%29 Multiply both sides by the LCD 105


-60x%2B42y=70 Distribute and multiply (note how the fractions have been eliminated)


-60x%2B42y%2B60x=70%2B60x Add 60x to both sides


42y=60x%2B70 Simplify


%2842y%29%2F%2842%29=%2860x%2B70%29%2F%2842%29 Divide both sides by 42 to isolate y


y+=+%2860x%29%2F%2842%29%2B%2870%29%2F%2842%29 Break up the fraction on the right hand side


y+=+%2810%2F7%29x%2B5%2F3 Reduce and simplify


The original equation %28-4%2F7%29x%2B%282%2F5%29y=2%2F3 (standard form) is equivalent to y+=+%2810%2F7%29x%2B5%2F3 (slope-intercept form)


The equation y+=+%2810%2F7%29x%2B5%2F3 is in the form y=mx%2Bb where m=10%2F7 is the slope and b=5%2F3 is the y intercept.