SOLUTION: #29 3.3 find the slope and y intercept for each line that has a slope and y intrcept. x-2y=4 thank you

Algebra ->  Points-lines-and-rays -> SOLUTION: #29 3.3 find the slope and y intercept for each line that has a slope and y intrcept. x-2y=4 thank you      Log On


   



Question 118306: #29 3.3
find the slope and y intercept for each line that has a slope and y intrcept.
x-2y=4

thank you

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)


1x-2y=4 Start with the given equation


1x-2y-1x=4-1x Subtract 1x from both sides


-2y=-1x%2B4 Simplify


%28-2y%29%2F%28-2%29=%28-1x%2B4%29%2F%28-2%29 Divide both sides by -2 to isolate y


y+=+%28-1x%29%2F%28-2%29%2B%284%29%2F%28-2%29 Break up the fraction on the right hand side


y+=+%281%2F2%29x-2 Reduce and simplify


The original equation 1x-2y=4 (standard form) is equivalent to y+=+%281%2F2%29x-2 (slope-intercept form)


The equation y+=+%281%2F2%29x-2 is in the form y=mx%2Bb where m=1%2F2 is the slope and b=-2 is the y intercept.