A line passes through the points (8, 1) and (6, 7). What is the slope?



Answers

Answer 1

Answer:

-3

Step-by-step explanation:

7-1=6

6-8=-2

Answer 2

A line connects the points (8, 1) and (6, 7). The angle is -3.

What is meant by slope?The slope or slope of a line is a number in mathematics that describes both the direction and slope of a line. Gradients are frequently represented by the letter m.There is no clear reason why the letter m is used for gradients, but it was first used in English by O'Brien (1844), who wrote the equation for a straight line as "y = mx + b."He is also depicted in Tod Hunter's (1888) work, where he wrote "y = mx + c."The slope is calculated by dividing the difference between two (arbitrary) points on a line by the ratio of vertical and horizontal change.

Therefore,

Slope (m) = ΔY/ΔX

= 3/-1

= -3

The slope =  -3

θ = arctan(ΔY/ΔX) + 180°

=1 08.43494882292°

ΔX = 6 – 8 = -2

ΔY = 7 – 1 = 6

Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368

Equation of the line:

y = -3x + 25

When x = 0, y = 25

When y = 0, x = 8.3333333333333

Hence,  A line connects the points (8, 1) and (6, 7). The angle is -3.

To learn more about slope, refer to:

brainly.com/question/16949303

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Related Questions

Piper used 1/5 meter of ribbon to create a border around a triangle if each side of the triangle is the same length how much ribbon did Piper use for each side?

Answers

Answer:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

as said in the question that the triangle has three equal sides. i.e. this is an equilateral triangle. So,

let us consider one side of the triangle to be x . and 3x( x+x+x) should be equal to 1/5

[tex]x+x+x = \frac{1}{5}\\3x=\frac{1}{5}\\x = \frac{1}{5} / 3\\x = \frac{1}{5} * \frac{1}{3}\\x = \frac{1}{15}[/tex]

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Answers

Answer:

15.6 meters in a minute

Step-by-step explanation:

Here's why:

1 centimeter= 0.01 meter

So, if you have 26 cm, that equals 0.26 meters.

Now, we know that there are 60 seconds in a minute.

So, we have to do 0.26 times 60 which equals 15.6 meters.

I hope this helps you! :)

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Step-by-step explanation:

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Answer:

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Answers

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

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Step-by-step explanation:

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B is the answer

Step-by-step explanation:

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What is the slope of a line passing
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Answers

Answer:

-4/3

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: c

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Total journey of Jessica is 4.31 kilometer.

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What is Total distance?

The actual distance between the places from which the material is transported to the destination place is called Total distance.

Total journey of Jessica = 3.31 + 1

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So total journey travel by Jessica is 4.31 kilometer.

Learn more about the Total distance visit:

https://brainly.com/question/71956

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Answers

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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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I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

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Answer:

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Step-by-step explanation:

Just take a look at it.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3?

Answers

Answer:

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Step-by-step explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

The line passes through (x1,y1)

Given

[tex](x_1,y_1) = (3,2)\\m = \frac{1}{3}[/tex]

=> x1 = 3

=> y1 = 2

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[tex]y - 2 = \frac{1}{3}(x-3)[/tex]

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Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

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Answers

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Step-by-step explanation:

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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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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]

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