Answer: in the 4th quadrant
Step-by-step explanation:
it needs to be in y=mx+b (slope form) so it would be
- -y=-1/2x+2
- then divide everything by -1
- which is y=1/2 -2
- b=-2 m=1/2
- if you were to graph it, the line would be in the 4th quadrant
Yes choice D is the correct answer. Nice job.
If you wanted, you can simplify the linear approximation L(x)
L(x) = f(a) + (x-a)*f'(a)
L(x) = f(-0.5) + (x-(-0.5))*f'(-0.5)
L(x) = 2 + (x+0.5)*4
L(x) = 2+4x+2
L(x) = 4x+4
Then plug in x = 0
L(x) = 4x+4
L(0) = 4(0)+4
L(0) = 4
But your method is a shorter route.
It can equal 1/2 or-2 because there are two answers.
