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2 months ago

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

Mathematics

1 answer:

babunello [11.8K]2 months ago

8 0

The collections of ordered pairs that correspond to the graph of the equation y − 1 = −2(x − 2) includes:

(0, 5) and (−2, 9)
(−1, 7) and (2, 1)

Answer: Options B and C

Step-by-step explanation:

Starting with the equation of the line y - 1 = -2 (x - 2), we can manipulate this equation into

y = - 2 x + 5

Now, by substituting the coordinates of each pair of ordered pairs provided, we can determine which pairs are contained within the graph of this equation.

A.(0, -2) and (1, 3)

-2 = -2(0) + 5 results in -2 = 5

3 = -2(1) + 5 results in 3 = 3 and confirms it's not part of the ordered pairs set.

B. (0, 5) and (−2, 9)

5 = -2(0) + 5 results in 5 = 5

9 = -2(-2) + 5 results in 9 = 9 confirming these ordered pairs do belong.

C. (−1, 7) and (2, 1)

7 = -2(-1) + 5 results in 7 = 7

1 = -2(2) + 5 results in 1 = 1 confirming these pairs are included as well.

D. (3, −1) and (2, −1)

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

-1 = -2(2) + 5 gives -1 = 1 confirming these pairs do not belong.

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

2 = -2(1) + 5 results in 2 = 3

3 = -2(4) + 5 results in 3 = -3 confirming these do not belong.

Therefore, it can be concluded that options B and C satisfy the equation as substituting values for x and y verifies their compliance with the given expression.

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Step-by-step explanation:

The complete question is as follows;

Anumeha is mowing lawns for a summer job. For each lawn she mows, she charges a $10 starting fee plus an hourly rate. For example, her fee for a 5-hour job is $35. Let f(t) denote Anumeha's fee for a job f (in dollars) based on how many hours (t) were needed to finish it. Write the formula for this function.

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