SOLUTION: Express the following equation in slope-intercept form: 7x - 5y = 10

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Question 278357: Express the following equation in slope-intercept form: 7x - 5y = 10
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)


7x-5y=10 Start with the given equation


7x-5y-7x=10-7x Subtract 7x from both sides


-5y=-7x%2B10 Simplify


%28-5y%29%2F%28-5%29=%28-7x%2B10%29%2F%28-5%29 Divide both sides by -5 to isolate y


y+=+%28-7x%29%2F%28-5%29%2B%2810%29%2F%28-5%29 Break up the fraction on the right hand side


y+=+%287%2F5%29x-2 Reduce and simplify


The original equation 7x-5y=10 (standard form) is equivalent to y+=+%287%2F5%29x-2 (slope-intercept form)


The equation y+=+%287%2F5%29x-2 is in the form y=mx%2Bb where m=7%2F5 is the slope and b=-2 is the y intercept.