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anzhelika [568]
3 years ago
7

What is the slope of the line?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

m=-1

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from the graph.</em>

Point (-2, 0)

Point (0, -2)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-2-0}{0+2}
  2. Subtract/Add:               m=\frac{-2}{2}
  3. Divide:                          m=-1

And we have our final answer!

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Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (-2, -6) Midpoint: (-5, 1)
FromTheMoon [43]

Answer:

(-8,8)

Step-by-step explanation:

The midpoint M(x_M,y_M) of the segment AB with endpoints A(x_A,y_A) and B(x_B,y_B) has coordinates

x_M=\dfrac{x_A+x_B}{2}\\ \\y_M=\dfrac{y_A+y_B}{2}

In your case, A(-2,-6), \ M(-5,1), then

-5=\dfrac{-2+x_B}{2}\Rightarrow -2+x_B=-10,\ x_B=-10+2=-8\\ \\1=\dfrac{-6+y_B}{2}\Rightarrow -6+y_B=2,\ y_B=2+6=8

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2 years ago
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Nuetrik [128]

Answer:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

Step-by-step explanation:

 For this exercise you need to know that the slope of any horizontal line is zero (m=0)

The slope of a line can be found with the following formula:

m=\frac{y_2-y_1}{x_2-x_1}

You can observe in the graph of the function  g(x)  given in the exercise, that this is an horizontal line.  Then,  you can conclude that its slope is:

m=0

The steps to find the slope of the function f(x) shown in the table attached, are the following:

- Choose two points, from the table:

(0,3) and (4,-1)

- You can say that:

y_2=-1\\y_1=3\\\\x_2=4\\x_1=0

- Substitute values into the formula m=\frac{y_2-y_1}{x_2-x_1}:

m=\frac{-1-3}{4-0}

- Finally, evaluating, you get:

m=\frac{-4}{4}\\\\m=-1

Therefore:

1) The slope of the function g(x) is 0 and the slope of the function f(x) is -1.

2) The negative slope of the function f(x) shows that it is the line is increasing and the slope 0  of the function  g(x)  shows that the line will always have the same y-coordinate.

3) The slope of the function is f(x) is greater than the slope of the function  g(x).

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