Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
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First let
, so that
to write the integral as
Now recall that
, so substituting
should do the trick. The integral then becomes
When you distribute you should get
Simplify to get
Answer 2 is correct
Multiply both sides of the equation by (x+1), on the right hand side the denominator then goes away and on the left hand side you get (x+1)(x+1), foil that out then just solve for x
