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The graph of the equation y − 1 = −2(x − 2) contains which set(s) of ordered pairs? Select all that apply.

1 Answer

3 votes

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.

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