Which of the following equations represents a line that passes through the points (-10, -9)(−10,−9) and (10,-1)(10,−1)?
I. y+1=-\frac{2}{5}(x-10)y+1=−
5
2

(x−10)
II. 2x-5y=252x−5y=25

Answers

Answer 1

Answer:

y = 2/5x - 5

Step-by-step explanation:

(-10,-9) and (10,-1)

Slope: (-1 - - 9) / ( 10 - - 10)

Slope = 8/20 = 2/5

b = -9 - (2/5(10)

b = -5

Answer 2

The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Slope: (-1 - - 9) / ( 10 - - 10)

m = Slope = 8/20 = 2/5

Now intercept;

b = -9 - (2/5(10)

b = -5

Now Write the equation as

y = 2/5x - 5

Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5

Learn more about equations here;

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Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

The distance between two points can be found using the Pythagorean Theorem [tex]a^{2} + b^{2} = c^{2}[/tex].

This is because, if you connected your two points with a line, that line could be defined as the hypotenuse of a right triangle. the base of that triange is the distance between the x coordinates ([tex]x_{2} -x_{1}[/tex]) and the height by the distance between the y coordinates ([tex]y_{2} - y_{1}[/tex]). Sine these are the sides of the right triangle, they are equal to a and b above (c is the hypotenuse that we are trying to find). So, we calculate the two distances above and get 3 and 1 (for x and y respectively). 3^2 + 1^ 2 =10. So the answer is square root 10.

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Answers

Answer:

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Step-by-step explanation:

This problem requires the Pythagorean Theorem. We are given the hypotenuse and a leg, so we can plug in what we know.

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Answers

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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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Answers

Answer:

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Step-by-step explanation:

10s+s-3s10s+s-3s

first of all, we collect like terms

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Answers

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Step-by-step explanation:

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Answers

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Answers

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