<span>1X12, 2X6, 3X4, 4X3, 6X2, and 12X1 are the factor pairs of 12
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Answer:
its c and use th e thererum
It looks like the differential equation is

Check for exactness:

As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that

*is* exact. If this modified DE is exact, then

We have

Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :

The modified DE,

is now exact:

So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that

Integrate both sides of the first condition with respect to <em>x</em> :

Differentiate both sides of this with respect to <em>y</em> :

Then the general solution to the DE is

To solve this problem, we must first remember that slope-intercept form is y=mx + b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation.
To begin, we can take this form and substitute in the slope for the variable m.
y = mx + b
y = 4x + b
Next, because we weren't given the y-intercept, we can find it by substituting the value of 6 for x and the value of -1 for y (these values came from the ordered pair that we were given in this problem).
-1 = 4(6) + b
After that, we can begin to simplify and solve for the variable b by computing the multiplication on the right side of the equation.
-1 = 24 + b
Next, we should subtract 24 from the right side of the equation in order to get the variable b alone.
-25 = b
Now, if we substitute in this value for the variable b in our equation with the slope, we get:
y = 4x - 25
Therefore, your answer is y = 4x - 25.
Hope this helps!