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Westkost [7]
2 years ago
10

The slope, m, of a linear equation can be found using the formula m = StartFraction y 2 minus y a Over x 2 minus x 1 EndFraction

., where the x- and y-values come from two ordered pairs, and (x1, y1) and (x2, y2).
Mathematics
1 answer:
Otrada [13]2 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

  • (x₁, y₁)
  • (x₂, y₂)

Using the formula  to determine the slope between (x₁, y₁) and (x₂, y₂) of the linear function

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

For example, let the points be

(x₁, y₁) = (1, 2)

(x₂, y₂) = (3, 4)

Determining the slope between

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 1]

               = 2 / 2

               = 1

Thus,

The slope of the line between the points (1, 2)  and (3, 4)  will be: m = 1

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Which ordered pair is generated from the equation shown below?
Evgesh-ka [11]

Answer:

(3, 11)

Step-by-step explanation:

To check the ordered pair from given option .

lets plug in the value of x from the choices given .

If value of y is same a sin ordered pair then that pair is correct answer else it can be concluded that pair is not generated from equation given.

equation: y = 3x + 2

_____________________________________

A) (3, 11)

If we put value of X=3 in equation y = 3x + 2,

then y should be 11

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is as expected for ordered pair)

Hence this pair (3, 11) is generated from given equation.

_____________________________________

A) (3, 9)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is not as expected for ordered pair(3,9)

Hence this pair is not generated from given equation.

_____________________________________

A) (5, 15)

If we put value of X=5 in equation y = 3x + 2,

then y should be 15

y = 3x + 2

=> y = 3*5+2 = 15+2 = 17 . (This is not as expected for ordered pair(5,15)

Hence this pair is not generated from given equation.

_____________________________________

A) (2, 4)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*2+2 = 6+2 = 8. (This is not as expected for ordered pair(2, 4)

Hence this pair is not generated from given equation.

_________________________________________________

Thus, only A) (3, 11) is generated from the equation y = 3x + 2

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3 years ago
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