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Aliun [14]
2 years ago
14

Write the slope-intercept form of the equation that passes through the point (-1, 2) and is parallel to the line y = 3/2x + 6

Mathematics
1 answer:
horsena [70]2 years ago
4 0

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Answer:  \textsf{y = 3/2x + 7/2}

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Given: \textsf{Passes through (-1, 2) and parallel to y = 3/2x + 6}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we know that our line is going to be parallel which means that the slope is the same and we need to use the point-slope form to help us.  After plugging in the values we just simplify and solve for y to convert to slope-intercept form.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - 2 = 3/2(x - (-1))}

<u>Simplify and distribute</u>

  • \textsf{y - 2 = 3/2(x + 1)}
  • \textsf{y - 2 = (3/2 * x) + (3/2 * 1)}
  • \textsf{y - 2 = 3/2x + 3/2}

<u>Add 2 to both sides</u>

  • \textsf{y - 2 + 2 = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 3/2 + 2}
  • \textsf{y = 3/2x + 7/2}

Therefore, after completing the steps we were able to determine that the equation that fits the description is y = 3/2x + 7/2.

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3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times \frac{1}{10}  + 1 \times  \frac{1}{1,000}

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3 \times 1000 + 6 \times 100 + 1 \times 10 + 2 \times 0.1  + 1 \times  0.001

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3000 + 600 + 10 + 0.2 + 0.001

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3610.201

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3 years ago
A leaky faucet has a drip that produces 1.2 drops per second. How many drops will occur in one day?. Show all steps neatly.Write
NemiM [27]
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3 years ago
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When you roll a standard number cube once, what is the probability of rolling a number divisible by 3?
NeTakaya

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C.

Step-by-step explanation:

There are two numbers on a standard cube that are divisible by 3, 3 and 6. Which gives you the fraction 2/6 and can be reduced to 1/3

4 0
3 years ago
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liubo4ka [24]
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A rectangle flower bed is 9 feet wide and 12 feet long .what is the length of the diagonal?​
BigorU [14]

Answer:

15 feet

Step-by-step explanation:

The question talks about;

  • A rectangular flower bed whose dimensions are 12 ft by 9 ft

We are required to determine the length of the diagonal

To answer the question, we need to know the following;

  • All the angles in a rectangle are right angles
  • A diagonal divides a rectangle into two right-angled triangles
  • The dimensions of the rectangle acts as the legs of right angled triangle.

Therefore;

Using Pythagoras theorem;

a² + b² = c²

Where, c is the hypotenuse (in this case the diagonal)

a and b are the shorter sides of the right-angled triangle

Therefore;

c² = 12² + 9²

c² = 144 + 81

   = 225

c = √225

  = 15

Therefore, the length of the diagonal is 15 feet

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3 years ago
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