SOLUTION: Write the slope-intercept form of the equation 3x-2y=-16

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Question 278360: Write the slope-intercept form of the equation
3x-2y=-16
Found 3 solutions by jim_thompson5910, Grinnell, JBarnum:
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)


3x-2y=-16 Start with the given equation


3x-2y-3x=-16-3x Subtract 3x from both sides


-2y=-3x-16 Simplify


%28-2y%29%2F%28-2%29=%28-3x-16%29%2F%28-2%29 Divide both sides by -2 to isolate y


y+=+%28-3x%29%2F%28-2%29%2B%28-16%29%2F%28-2%29 Break up the fraction on the right hand side


y+=+%283%2F2%29x%2B8 Reduce and simplify


The original equation 3x-2y=-16 (standard form) is equivalent to y+=+%283%2F2%29x%2B8 (slope-intercept form)


The equation y+=+%283%2F2%29x%2B8 is in the form y=mx%2Bb where m=3%2F2 is the slope and b=8 is the y intercept.

Answer by Grinnell(63) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y=-16
Slope intercept form is y=mx+b
m is the slope y1-y2/x1-x2=m
The y intercept is b, this is where the line crosses y axis, in other words
when x is zero where does the line intersect the y axis? {0,?} (0,8)!!
SO, off to the races...
-2y=-3x-16
y=3/2x+8
(Do you see that the y intercept is 8? Thus part of the
genius of 'slope-intercept' form. The slope is 3/2.)
Over two, and up three....(note the slope is positive!)
Later Gator!!

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
well look at the form y=mx+b
so 3x-2y=-16
-2y=3x-16
y=%28-3%2F2%29x%2B8