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rosijanka [135]
2 years ago
6

What is an equation of the line that passes through the points (-4, -5) and (-8, -2)?

Mathematics
2 answers:
nikklg [1K]2 years ago
7 0

Solution:

<u>Step-1: Find the slope of the line.</u>

Formula of slope: y₂ - y₁/x₂ - x₁

  • y₂ - y₁/x₂ - x₁ = Slope
  • => -2 - (-5)/-8 - (-4) = Slope
  • => -2 + 5/-8 + 4 = Slope
  • => 3/-4 = Slope

<u>Step-2: Use the point slope formula to determine the slope.</u>

Point slope form formula: y - y₁ = m(x - x₁)

  • y - y₁ = m(x - x₁) = Equation of line
  • => y - (-5) = -3/4{x - (-4)} = Equation of line
  • => y + 5 = -3/4{x + 4} = Equation of line
  • => y + 5 = -3x/4 - 3 = Equation of line
  • => y = -3x/4 - 8 = Equation of line

The equation of the line is <u>y = -3x/4 - 8.</u>

Nesterboy [21]2 years ago
4 0

To find the equation, First step is to find the slope which we can use in the formula and then we will find the equation using the specific formula...

<h3>Finding slope ⤵️</h3>

\boxed{ \sf \:m =  \frac{ y_{2} - y_{1}  }{ x_{2} -  x_{1}}  }

  • (x1,y1) = (-4,-5)
  • (x2,y2) = (-8,-2)

\tt \to \: m =  \frac{ - 2-( - 5)}{ - 8 -(- 4)}

\tt \to \: m =  \frac{ -2+5}{ -8+4}

\tt \to \: m =  -  \frac{3}{4}

<h3>Now, Put the values in the formula used to find the equation ⤵️</h3>

\boxed{ \sf \:y -  y_{1} = m(x - x_{1}) }

  • (x1,y1) = (-4,-5)

\tt \nrightarrow \: y - ( - 5) =  -  \frac{3}{4} (x - ( - 4))

\tt \nrightarrow \: y  +  5 =  -  \frac{3}{4} (x  +  4)

\tt \nrightarrow \: y  +  5 =  -  \frac{3}{4} x   - 3

\tt \nrightarrow \: y   =  -  \frac{3}{4} x   - 3 - 5

\bf\nrightarrow \: y   =  -  \frac{3}{4} x   - 8

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Scilla [17]

Answer:

The mean no. of red cubes is more than the median no. of red cubes.

Step-by-step explanation:

According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).

No. of red cubes           No. of bags           (x_{i}f_{i})

 (x_{i})                                        (f_{i})

    0                                     2                             0

     1                                     0                             0

     2                                    2                             4

     3                                     1                             3

     4                                     1                             4

     5                                     0                            0

     6                                     1                              6

     7                                      2                           14

      8                                     1                             8

      9                                     0                            0

    10                                      0                            0

 Total                                 10                            39

Now, no. of bags containing no. of red cubes  above 10   is  0   [since there are as a whole 10 bags only]

       

So, from  the table we  get that  mean no, of red cubes in each bag

  = \frac {\sum_{i =1}^{10}x_{i}f_{i}}{\sum_{i=1}^{10}f_{i}}

  =  39/10 = 3.9

Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3

= (2 + 2 + 1) = 5

and, no. of bags with no. of red cubes  ≥ 4

= (1 + 1 + 2 + 1) = 5

Also there are 1 bag each for no. of red cubes = 3 and 4

So. median no. of red cubes = (3 + 4)/2 = 3.5

So, we get that the mean no. of red cubes is more than the median no. of red cubes.

5 0
3 years ago
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V ≈206.97 cm³ is the answer to your equation.

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Albert jumped 100 times in 97.5 seconds. Round off the time taken to the nearest second.​
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Answer
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Step by step explanation
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Answer:

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3 years ago
The tables for f(x) and g(x) are shown below.
Vinvika [58]

Answer:

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Step-by-step explanation:

(f - g)(5) = f(5) -g(5)

From the tables, ...

  f(5) = 29

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Your desired function is ...

  f(5) -g(5) = 29 -13 = 16

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