Question

Select all the sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains.

Answer 1

The sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains:

• (0, 5) and (−2, 9)
• (−1, 7) and (2, 1)

Answer: Option B and C

Step-by-step explanation:

Given that  the equation of line is y - 1 = -2 (x - 2) . Now after solving the above equation, we can write the above equation as

                    y = - 2 x + 5

Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

A.(0, −2) and (1, 3)

-2 = -2(0)+5 which gives -2 = 5

3 = -2(1)+5 which gives 3=3 and denotes not contain the set of ordered pairs

B. (0, 5) and (−2, 9)

5 = -2(0)+5 which gives 5=5  

9= -2(-2)+5 which gives 9=9 and denotes the set of ordered pairs

C. (−1, 7) and (2, 1)

7 = -2(-1)+5 which gives 7=7

1 = -2(2 )+5 which gives 1=1 and denotes the set of ordered pairs

D. (3, −1) and (2, −1)

-1 = -2(3)+5 which gives -1 = -1

-1 = -2(2)+5 which gives -1 = 1 and denotes not contain the set of ordered pairs

E. (1, 2) and (4, 3)

2 = -2(1)+5 which gives 2 = 3

3 = -2(4)+5 which gives 3 = -3 and denotes not contain the set of ordered pairs

Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.