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Volgvan
2 years ago
11

Use point-slope form to write the equation of a line that passes through the point

Mathematics
1 answer:
Ymorist [56]2 years ago
5 0

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

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Step-by-step explanation:

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7 0
2 years ago
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Find equation of the line passing through the given point in parallel to given equation. write your answer in slope intercept fo
denpristay [2]

Answer:

  • 3) y = (7/2)x -12
  • 4) y = 3x -5
  • 7) y = (1/3)x +4/3
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Step-by-step explanation:

In every case, you can ...

  • replace any constant in the equation by 0
  • for point (h, k), replace x with (x-h) and y with (y-k), then simplify
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3) -7(x-4) +2(y-2) = 0 ⇒ -7x +2y +24 = 0

... y = (7/2)x -12

4) (y+2) = 3(x-1)

... y = 3x -5

7) -(x+4) +3(y-0) = 0 ⇒ -x +3y -4 = 0

... y = (1/3)x +4/3

8) 4(x-2) +3(y -0) = 0 ⇒ 4x +3y -8 = 0

... y = (-4/3)x +8/3

7 0
3 years ago
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad.
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T= total played
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m= # minutes played

Total equals number of evenings played multiplied by number of minutes plated per evening.

EQUATION:
t=e * m

EQUATION (if 30 minutes per evening):
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Example:
3 nights, 30 minutes played

t= 3 * 30
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Hope this helps!  :)
7 0
3 years ago
The sum of three numbers is 69. The second number is 6 less than the first. The third number is 3 times the first. What are the
almond37 [142]

Answer and Step-by-step explanation:

To solve, we would set the first number to x, and make an equation.

<u>Solve for x.</u>

x + (x - 6) + 3x = 69.

<u>Add and combine like terms.</u>

2x + 3x - 6 = 69

5x - 6 = 69

<u>Add 6 to each side of the equation.</u>

5x = 75

Divide by 5 to both sides.

x = 15

<u>The first number is 15.</u>

<u>The second number is (x - 6) = (15 - 6) = 9.</u>

<u>The third number is 3x = 3(15) = 45.</u>

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2 years ago
What are the factors of the polynomial a^2 + a - 2? Select all that apply.
forsale [732]

Answer:

<h2>A) a - 1 and B) a + 2</h2>

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a^2+a-2=a^2+2a-a-2=a(a+2)-1(a+2)=(a+2)(a-1)

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