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Valentin [98]
3 years ago
5

(-12,-5);slope =1/3 write in slope -intercept form​

Mathematics
2 answers:
leonid [27]3 years ago
7 0

Answer:

y = \frac{1}{3} - 1

Step-by-step explanation:

y - y1 = m (x - x1)

y + 5 = \frac{1}{3} (x + 12)

y + 5 = \frac{1}{3} x + \frac{12}{3}

y + 5 = \frac{1}{3} x + 4

y = \frac{1}{3} x - 1

Hope this was helpful :)

Licemer1 [7]3 years ago
3 0

Answer:

y=1/3x-1

Step-by-step explanation:

point intercept form is y=mx+b

m=slope

b=intercept

y=1/3x

now you use the coordinate point to find your b

(-12,-5)

x, y

plug in your x and y

-5=1/3(-12)

1/3(-12)=-4

-5=-4

add 4 to both sides

-1

b=-1

y=1/3x-1

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The slope of a line parallel to the line who is the equation 2x + y = 6
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Answer:

-2

Step-by-step explanation:

Note that slope-intercept form looks like: y = mx + b

In this case, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides:

2x (-2x) + y = 6 (-2x)

y = -2x + 6

Note in the slope-intercept form: y = mx + b

y = y

m = slope

x = x

b = y-intercept

In this case, your slope is -2. All lines parallel to the given equation will also have a slope of-2.

~

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2 years ago
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Step-by-step explanation:

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Which point is the same distance from the y-axis but on the opposite side of the y-axis as point C?
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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Answer questions 13. And 14. Please! Show minimal work...
ale4655 [162]

13. The equation of the given function is y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

14. The equation of the cotangent function is y=cot[2(t-\frac{1}{3})]+2

Step-by-step explanation:

Let us revise the transformation of the trigonometric function:

y = a f[b(x + c)] + d, where

  • Amplitude is a
  • f represents the trigonometry function
  • Period is 2π/b
  • Phase shift is c (positive is to the left)
  • Vertical shift is d

13.

∵ y = a sin( \frac{2\pi t}{T} ), where a is the amplitude

   and T is the wave in seconds

∵ The amplitude is 4

∴ a = 4

∵ The period is 4π

∴ T = 4π

From the rules above

∵ The period is 2π/b

∴ T = \frac{2\pi }{B}

∴ 4π = \frac{2\pi }{b}

- By using cross multiplication

∴ 4π(b) = 2π

- Divide both sides by 4π

∴ b = \frac{1}{2}

∵ The phase shift is -\frac{4}{3}\pi

∵ c is the phase shift

∴ c = -\frac{4}{3}\pi

∵ The vertical shift is -2

∵ d is the vertical shift

∴ d = -2

Now substitutes the values of a, b, c and d in the form of the equation below

∵ y = a sin[b(t + c)] + d

∴ y=4sin[\frac{1}{2}(t-\frac{4}{3})]-2

You can write it as y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

The equation of the given function is y=4sin[\frac{(t-\frac{4}{3})}{2}]-2

14.

y = cot[b(t + c)] + d

∵ The period = π

∵ The period is 2π/b

- Equate π by 2π/b to find b

∴ π = \frac{2\pi }{b}

- By using cross multiplication

∴ π(b) = 2π

- Divide both sides by π

∴ b = 2

∵ The phase shift is -\frac{1}{3}\pi

∵ c is the phase shift

∴ c = -\frac{1}{3}\pi

∵ The vertical shift is 2

∵ d is the vertical shift

∴ d = 2

Now substitutes the values of b, c and d in the form of the equation below

∵ y = cot[b(t + c)] + d

∴ y=cot[2(t-\frac{1}{3})]+2

The equation of the cotangent function is y=cot[2(t-\frac{1}{3})]+2

Learn more:

You can learn more about trigonometry function in brainly.com/question/3568205

#LearnwithBrainly

5 0
3 years ago
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