Answer:
Answer Choices?
Explanation:
To find the set(s) of ordered pairs that satisfy the equation
�
−
1
=
−
2
(
�
−
2
)
y−1=−2(x−2), we can solve for
�
y and express the equation in the form
�
=
�
(
�
)
y=f(x).
Let's start by expanding and simplifying the given equation:
�
−
1
=
−
2
(
�
−
2
)
y−1=−2(x−2)
Distribute the -2 on the right side:
�
−
1
=
−
2
�
+
4
y−1=−2x+4
Add 1 to both sides to isolate
�
y:
�
=
−
2
�
+
5
y=−2x+5
Now that we have the equation in slope-intercept form (
�
=
�
�
+
�
y=mx+b), where
�
m is the slope and
�
b is the y-intercept, we can see that any ordered pair
(
�
,
�
)
(x,y) that satisfies this equation is a solution.
So, the set of ordered pairs that satisfy the equation is all points on the line
�
=
−
2
�
+
5
y=−2x+5. Therefore, any set of ordered pairs lying on this line is a solution.