Which equation represents a line passing through the point (8, 9) with a slope of 3?

Answers

Answer 1

The equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

What is the equation of a line passing through two given points in 2-dimensional plane?

Suppose the given points are [tex](x_1, y_1) and (x_2, y_2),[/tex]

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We have been given a line passing through the point (8, 9) with a slope of 3.

then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

Its slope would be:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

m = 3

Therefore, the equation of the straight line

[tex](y - 9) = 3 (x -8)\\\\y - 9 = 3x - 24\\\\y = 3x -15[/tex]

Hence, the equation of a line passing through the point (8, 9) with a slope of 3 is y = 3x - 15.

Learn more about straight-line equations here:

https://brainly.com/question/380976

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Answers

The Declaration of Independence gave birth to what is known today as the United States of America. The declaration helps the leaders and/or government lead our country. If we didn’t have it we wouldn’t have the laws we have today, we wouldn’t be able to have fire arms, women wouldn’t be able to vote, and so many other things. The document is symbolic of American democracy and one of the free charters of freedom. The words stated in the Declaration rallied support from colonists at home, and colonists living abroad.

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Step-by-step explanation:

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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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