The correct answer will be the first one, (-1,0). Since it gives you the points the first point will be x and the second point will be y. All you have to do is plug those points into the equation and see if it is the correct answer if not go onto the next points until you reach the correct one.
No the sum is -21 is bigger than 12 because
a) (f+g)(x)=6x^3-x^2+3x+4+8x^3-1
=14x^3-x^2+3x+3
b)(f+g)(2)=14(2)^2-4+6+3
=61
c)(f-g)(x)
=6x^3-x^2+3x+4-8x^3+1
= -2x^3-x^2+3x+5
d( (f-g)(-3)
= -2(-3)^3-(3)^2+9+5
=59
First find the slope between any two points:
Where
are the two points
So calculating the slope:
So the slope is
And our equation will be in the format of
where
and
So, now we have half of the equation:
Now to calculate b, we can plug in a point
and solve for b.
So
Lets use the point
So:
And then:
So our final equation is