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(28598) 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)


%28-4%2F7%29%2Ax%2B%282%2F5%29%2Ay=2%2F3Start with the given equation



%282%2F5%29%2Ay=2%2F3%2B%284%2F7%29%2Ax Add %284%2F7%29%2Ax to both sides

y=%285%2F2%29%282%2F3%2B%284%2F7%29%2Ax%29 Multiply both sides by 5%2F2

y=%285%2F2%29%282%2F3%29-%285%2F2%29%28-4%2F7%29x%29 Distribute 5%2F2

y=10%2F6%2B%2820%2F14%29x Multiply

y=%2820%2F14%29%2Ax%2B10%2F6 Rearrange the terms

y=%2810%2F7%29%2Ax%2B5%2F3 Reduce any fractions

So the equation is now in slope-intercept form (y=mx%2Bb) where m=10%2F7 (the slope) and b=5%2F3 (the y-intercept)