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sveta [45]
3 years ago
6

What is the slope of the line that goes through the points (2,-1) and (6,1)

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer: The slope is \frac{1}{2}.

Step-by-step explanation:

1. You set up your Slope Formula M=\frac{y2-y1}{x2-x1}.

2. Substitue your points into the formula.M=\frac{1--1}{6-2}.

3. Once you substitute, you will solve the equationM=\frac{2}{4}.

4. Simplify the equation if you have to M=\frac{1}{2\\}.

You might be interested in
Find the missing side length of the right triangle.
Tomtit [17]
This is just some pythagorean theorem, or a^2 + b^2 = c^2. We have a and b, which is 9 and 12, and we need to find c. To find c, we need to first square those, giving u 81 and 144. Now, we need to add them, giving us 225, meaning c^2 = 225. However, we need to find c on its own, so we have to find the square root of 225. That would be 15.
5 0
1 year ago
Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​
olchik [2.2K]

Answer:

The answer is

<h2>y =  -  \frac{2}{3} x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

<h3>m =  \frac{ - 1 - 7}{9 + 3}  =  -  \frac{8}{12}  =  -  \frac{2}{3}</h3>

Now we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

<h3>y - 7 =  -  \frac{2}{3} (x + 3) \\ y - 7 =  -  \frac{2}{3} x - 2 \\ y =  -  \frac{2}{3} x - 2 + 7</h3>

We have the final answer as

<h3>y =  -  \frac{2}{3} x + 5</h3>

Hope this helps you

5 0
2 years ago
Read 2 more answers
A bowl of buttons contains 10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL]
kondaur [170]

Answer:

a) Probability of picking Two MAGA buttons without replacement = 0.15

b) Probability of picking a MAGA and GND button in that order = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = 0.167

Step-by-step explanation:

10 MAGA [MAKE AMERICA GREAT AGAIN] buttons, 5 GND [GREEN NEW DEAL] buttons and 10 NAW [NEVER A WALL] buttons.

Total number of buttons = 10 + 5 + 10 = 25

Let probability of picking a MAGA button be P(M) = 10/25 = 0.4

Probability of picking a GND button be P(G) = 5/25 = 0.2

Probability of picking a NAW button be P(N) = 10/25 = 0.4

a) Probability of picking Two MAGA buttons without replacement = (10/25) × (9/24) = 3/20 = 0.15

b) Probability of picking a MAGA and GND button in that order = (10/25) × (5/24) = 1/12 = 0.0833

Probability of picking a MAGA and GND button in with the order unimportant = [(10/25) × (5/24)] + [(5/25) × (10/24)] = 1/6 = 0.167

3 0
3 years ago
Oliver's plane landed at the airport at 8:00 at night. The plane ride was 9 hours and 39 minutes,
Eddi Din [679]

Answer:

10:21 in the morning

Step-by-step explanation:

8:00-8 hrs=12:00

12:00-1 hr and 39 min = 10:21

7 0
2 years ago
Read 2 more answers
Is each expression a polynomial? Drag and drop each expression to the correct box. Is a polynomial Is not a polynomial 2x−6 2x^2
Varvara68 [4.7K]

Alright , lets get started.

A polynomial can have constants, variables or exponents that can be combined using addition, subtraction, multiplication and division but not division by a variable.

2x - 6 : Polynomial

2x^2 -6x+4 : Polynomial

\frac{2}{3}x^4-6x^3+4x : Polynomial

2x^{-2}-6x+4 = \frac{2}{x^2}- 6x + 4 : Not Polynomial because it has a variable in division.

Hope it will help :)

7 0
3 years ago
Read 2 more answers
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