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gulaghasi [49]
3 years ago
10

Write an equation of the line passing through each of the following pairs of points. a (−10, 4), (2, −5)

Mathematics
1 answer:
rusak2 [61]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 10, 4) and (x₂, y₂ ) = (2, - 5)

m = \frac{-5-4}{2+10} = \frac{-9}{12} = - \frac{3}{4}, thus

y = - \frac{3}{4} x + c ← is the partial equation of the line

To find c substitute either of the 2 given points into the partial equation

Using (2, - 5), then

- 5 = - \frac{3}{2} + c ⇒ c = - 5 + \frac{3}{2} = - \frac{7}{2}

y = - \frac{3}{4} x - \frac{7}{2} ← equation of line

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german tiene 13 billetes en su bolsillo , algunos son de $2000 y otros de $5000 si en total German tiene $40.000 ¿Cuantos billet
Rufina [12.5K]

Answer:

hay 10 billetes de 2000

hay 4 billetes de 5000

Step-by-step explanation:

Planteamos las siguientes ecuaciones...:

x= billetes de 2000

y= billetes de 5000

ecuaciones :

1)    x+y = 14

2)  2000x + 5000y =40000

despejamos primera ecuacion y remplazamos en segunda  :

1) x= 14-y

2)  2000(14-y)  +  5000y  =  40000

    28000- 2000y+5000y  = 40000

                           3000y=  40000 - 28000

                                  y= 4

reemplazamos este valor en primera ecuacion:

x+y = 14

 x+ 4= 14

    x= 10

ahora reemplazamo valor de X       y      valor de Y

2000(10)   + 5000(4)  =40000

                  40000    =40000                        

hay 10 billetes de 2000

hay 4 billetes de 5000

Espero que esto te ayude

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3 years ago
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Answer:

20 :)

Step-by-step explanation:

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