Question 131153
Find the standard form of the equation of the line with slope -2 and y-intercept -4.

Choices are:

8x+4y=-16        

y=-2x+4         

-8x-16y=4          

4x+8y=-16
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First find the slope intercept form, which is

y = mx + b

where m = slope and b = y-intercept

So for this problem, m = -2 and b = -4, thus

y = mx + b

becomes

y = (-2)x + (-4)

or

y = -2x - 4

Now we change it to the standard form Ax + By = C

by adding 2x to both sides

     y = -2x - 4

2x + y = -4

That's it in simplest standard form!  But, alas,
that's not any one of the choices given!  However,
if we multiply that equation though by 4, we get

8x + 4y = -16

which is the only choice given that is equivalent 
to 2x + y = -4

That IS in general form Ax + By = C, just not in
the simplest general form.  Nevertheless, 

8x + 4y = -16

is the only choice which could be correct, even 
though that is not in simplest possible standard 
form.  But the other choices are not even 
equivalent to 2x + y = -4.

Edwin</pre>