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andreyandreev [35.5K]
3 years ago
10

Select all that apply. Which lines have a slope of -2?

Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

  • Line A
  • Line B

Step-by-step explanation:

When the problem is asking which lines have a slope of -2, this is referring to the steepness or rate of change. To determine which lines have a slope of -2, the line must have a rise of -2 and a run of 1. This means that the line will go down 2 units every 1 unit to the right.

Also, if a line is parallel (lines which never cross), it will have the same slope.

You can also eliminate lines c, and d because they increase while lines a, and b decrease. A and B have the same slope because they are parallel and decrease which means that this must be the answer.

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Solve the system of equations using elimination.
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Answer:

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Step-by-step explanation:

{5 y - 7 x = 24 | (equation 1)

{5 y - 9 x = 18 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) + 5 y = 18 | (equation 1)

{-(7 x) + 5 y = 24 | (equation 2)

Subtract 7/9 × (equation 1) from equation 2:

{-(9 x) + 5 y = 18 | (equation 1)

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Multiply equation 2 by 9/10:

{-(9 x) + 5 y = 18 | (equation 1)

{0 x+y = 9 | (equation 2)

Subtract 5 × (equation 2) from equation 1:

{-(9 x)+0 y = -27 | (equation 1)

{0 x+y = 9 | (equation 2)

Divide equation 1 by -9:

{x+0 y = 3 | (equation 1)

{0 x+y = 9 | (equation 2)

Collect results:

Answer: {x = 3, y = 9

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