Question

Which equation represents the relationship shown in the table?
Table :

x y
_________-________________
-4 -3
-2 -2
0 -1
2 0
4 1

Choices:
A) y= -1/2x - 1

B) y=x + 1

C) y=1/2x - 1

D) y=1/2x + 1

Answer 1

How to solve also please.

Answer 2

Test a value of x and plug it into one of the possible answers.

For example, take \(x=-4\).
Solve for \(y\):
\[\begin{align*}
A)~y&=-\frac{1}{2}(-4)-1\\
&=\frac{4}{2}-1\\
&=2-1\\
&=1
\end{align*}\]
(A) doesn't work, so you can eliminate that as a possible answer. Repeat as necessary until you find the one that works.

Answer 3

D is your answer.(:

Answer 4

Thank you, I got it now from the other response, but you clarified it :0.