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Scrat [10]
3 years ago
14

A line with a slope of 6 passes through the point (2,3) . What is it’s equation in slope-intercept form

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

point slope form

y-y1 = m(x-x1)

y-3 = 6(x-2)

distribute

y-3= 6x-12

add 3 to each side

y = 6x-9

this is in slope intercept form

Free_Kalibri [48]3 years ago
6 0

Answer:

y = 6x - 9

Step-by-step explanation:

Plug the coordinates and the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>] into the Slope-Intercept Formula:

3 = 6[2] + b

12

−9 = b

y = 6x - 9

I am joyous to assist you anytime.

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Dr. E. Quation says the Infant Mortality Rate of Korea shown by the expression; 7(m + 3) - 2. Is equal to his criminal success r
GarryVolchara [31]

Answer:

The infant mortality rate in Korea based on equality provided is:

  • 1.8

Step-by-step explanation:

Since the text mentions that the infant mortality rate in Korea is equal to the criminal success rate, the two expressions must equalize and clear the variable m, which is the rate in each of the expressions:

  • 7 (m + 3) - 2 = 8m + 17.2
  • 7m + 21 - 2 = 8m + 17.2
  • 7m + 19 = 8m + 17.2
  • 19 - 17.2 = 8m - 7m
  • 1.8 = m

As you can see, once the equality of the expressions is solved, <u>a rate of 1.8</u> is obtained.

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The angle of elevation to the top of a 30-story skyscraper is measured to be 2 degrees from a point on the ground 5,280 feet fro
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We are given an angle of elevation of 2 degrees and distance in the x axis of 5280 feet and we are asked in the problem to determine the height of the building. We use the tangent function to determine the height: that is tan 2 = h / 5280; h is equal then to 184 ft.
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Teh answer is 4 cm^2
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Is 3 x 5/6:<br> A: 15/6<br> B:15/18<br><br> ????
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3 x 5/6 is 2.5, so 15/6

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natita [175]

Lyra's speed of travel is 6.71 feet per seconds and Lyra's direction of travel is 27 degrees north of east

<h3>How to determine the speed of travel?</h3>

The diagram that represents the scenario is added as an attachment.

Let x represents Lyra's speed of travel.

The value of x is calculated using the following Pythagoras theorem.

x = \sqrt{3^2 + 6^2}

Evaluate the exponents

x = \sqrt{9 + 36}

Evaluate the sum

x = \sqrt{45}

Evaluate the exponent

x = 6.71

Hence, Lyra's speed of travel is 6.71 feet per seconds

<h3>How to determine the direction of travel?</h3>

The direction (∅) is calculated using the following tangent ratio.

\tan(\theta) = \frac 36

Evaluate the quotient

\tan(\theta) = 0.5

Take the arc tan of both sides

\theta = \tan^{_1}(0.5)

Evaluate

\theta = 27

Hence, Lyra's direction of travel is 27 degrees north of east

Read more about speed and distance at:

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