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Sedbober [7]
3 years ago
14

What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0
Point slope form: 
y-y_1=m(x-x_1)

m=slope 
(x1,y1) 

First we need to find the slope using the slope formula:
\frac{y_2-y_1}{x_2-x_1} =slope

Given the two coordinates: 
<span>(1, 9) and (−1, 11)

Plug them into the slope formula: 
</span>\frac{11-9=2}{-1-1=-2} =slope
Simplify: 
\frac{2}{-2} =-1
<span>
Now we know that: 
m=-1  and the (x1,y1) would be </span><span>(1, 9)
</span>
Now we simply plug in the info: 
y-9=-(x-1)

Final answer: y − 9 = −(x − 1)
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Una escalera está apoyada sobre la fachada de un edificio. Si la escalera mide 10 m de longitud y el pie de la escalera está a 5
mamaluj [8]

Answer:

8.66 meters

Step-by-step explanation:

Assuming that the building is completely straight, a right angle is formed and therefore a right triangle.

Thanks to this we can calculate the height at which the ladder reaches the wall using the Pythagorean theorem, this height being one of the legs.

We have to:

c ^ 2 = a ^ 2 + b ^ 2

c = 10

a = 5

replacing

b ^ 2 = 10 ^ 2 - 5 ^ 2

b ^ 2 = 75

b = 8.66

that is to say that the height at which the ladder reaches the wall is 8.66 meters

8 0
3 years ago
What is the mean of 13,6,8,6,15
Luden [163]

Hey there!

To start, the mean of the answer is also known as the average value of a set of numbers. This is calculated by dividing the sum of the set by the total amount of numbers.

In this case the sum of all the numbers is 13 + 6 + 8 + 6 + 15 which is equal to 48.

Now, divide 48 by the total number of numbers in the set: 48/5 = 9.6

Your final answer should be 9.6, or you can leave it in fraction form as 48/5.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Find the slope and the y-intercept of the equation below:
AveGali [126]

Answer:

  1. m = 4/3; b = -4
  2. m = 3; b = -6

Step-by-step explanation:

In each case, <em>solve for y</em>. You do this by getting the y-term by itself, then dividing by the coefficient of y.

<h3>1.</h3>

  -3y = -4x +12 . . . . . subtract 4x

  y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

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<h3>2.</h3>

  y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

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<em>Additional comment</em>

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are <em>addition</em>, <em>subtraction</em>, <em>multiplication</em>, <em>division</em>, and <em>substitution</em> properties of equality. Any equation solving process will make use of one or more of these.)

8 0
3 years ago
11-1\2y=3+6x Solve for y
romanna [79]
Let's solve for y.

<span><span>11−<span><span>12</span>y</span></span>=<span>3+<span>6x

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</span></span></span><span><span><span><span>−1</span>2</span>y</span>=<span><span>6x</span>−8

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<span><span><span><span><span>−1/</span>2</span>y</span><span><span>−1/</span>2</span></span>=<span><span><span>6x</span>−8/-1/2

</span></span></span><span>y=<span><span>−<span>12x</span></span>+16</span></span><span>
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5 0
3 years ago
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ZanzabumX [31]

Answer:

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Step-by-step explanation:

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