SOLUTION: find the slope and y-intercept of the line 4y-x=12

Algebra ->  Linear-equations -> SOLUTION: find the slope and y-intercept of the line 4y-x=12      Log On


   

Question 85518: find the slope and y-intercept of the line 4y-x=12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
note: if you need help with more slope-intercept problems, check out this solver

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=12 Start with the given equation


4x-1y-4x=12-4x Subtract 4x from both sides


-1y=-4x%2B12 Simplify


%28-1y%29%2F%28-1%29=%28-4x%2B12%29%2F%28-1%29 Divide both sides by -1 to isolate y


y+=+%28-4x%29%2F%28-1%29%2B%2812%29%2F%28-1%29 Break up the fraction on the right hand side


y+=+4x-12 Reduce and simplify


The original equation 4x-1y=12 (standard form) is equivalent to y+=+4x-12 (slope-intercept form)


The equation y+=+4x-12 is in the form y=mx%2Bb where m=4 is the slope and b=-12 is the y intercept.