SOLUTION: Find the slope and y- intercept for the graph of 4x-y=3

Algebra ->  Linear-equations -> SOLUTION: Find the slope and y- intercept for the graph of 4x-y=3      Log On


   

Question 110725: Find the slope and y- intercept for the graph of 4x-y=3
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)


4x-1y=3 Start with the given equation


4x-1y-4x=3-4x Subtract 4x from both sides


-1y=-4x%2B3 Simplify


%28-1y%29%2F%28-1%29=%28-4x%2B3%29%2F%28-1%29 Divide both sides by -1 to isolate y


y+=+%28-4x%29%2F%28-1%29%2B%283%29%2F%28-1%29 Break up the fraction on the right hand side


y+=+4x-3 Reduce and simplify


The original equation 4x-1y=3 (standard form) is equivalent to y+=+4x-3 (slope-intercept form)


The equation y+=+4x-3 is in the form y=mx%2Bb where m=4 is the slope and b=-3 is the y intercept.