Select all equations that have graphs with the same y-intercept.

y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8

Answers

Answer 1
y=3x-8
y=5x-8
y=2x-8
y=1/3x-8
the y intercept is the b in y=mx+b and all of these have -8 as the y int
Answer 2

The equations that have graphs with the same y-intercept are:

y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8

To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.

Let's compare the equations and their constant terms:

y = 3x - 8 (Constant term: -8)

y = 3x - 9 (Constant term: -9)

y = 3x + 8 (Constant term: 8)

y = 5x - 8 (Constant term: -8)

y = 2x - 8 (Constant term: -8)

y = (1/3)x - 8 (Constant term: -8)

From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.

Therefore, the equations that have graphs with the same y-intercept are:

y = 3x - 8

y = 5x - 8

y = 2x - 8

y = (1/3)x - 8

Learn more about intercept here:

https://brainly.com/question/14180189

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answer:

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Answers

Answer:

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Answers

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.

.

.

.

.

.

.

..

..

.

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..

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.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

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