SOLUTION: y=Mx + b 7x + 8y = 12 -7 -7 8y/8=12/8-7x/8 y=-7x+4

Algebra ->  Linear-equations -> SOLUTION: y=Mx + b 7x + 8y = 12 -7 -7 8y/8=12/8-7x/8 y=-7x+4      Log On


   

Question 119175: y=Mx + b
7x + 8y = 12
-7 -7
8y/8=12/8-7x/8
y=-7x+4
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)


7x%2B8y=12 Start with the given equation


7x%2B8y-7x=12-7x Subtract 7x from both sides


8y=-7x%2B12 Simplify


%288y%29%2F%288%29=%28-7x%2B12%29%2F%288%29 Divide both sides by 8 to isolate y


y+=+%28-7x%29%2F%288%29%2B%2812%29%2F%288%29 Break up the fraction on the right hand side


y+=+%28-7%2F8%29x%2B3%2F2 Reduce and simplify


The original equation 7x%2B8y=12 (standard form) is equivalent to y+=+%28-7%2F8%29x%2B3%2F2 (slope-intercept form)


The equation y+=+%28-7%2F8%29x%2B3%2F2 is in the form y=mx%2Bb where m=-7%2F8 is the slope and b=3%2F2 is the y intercept.