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Ilia_Sergeevich [38]
2 years ago
6

Find the slope of the line through each pair of points. (2, -4), (5,-8)

Mathematics
1 answer:
slega [8]2 years ago
8 0

Answer:

m=-\frac{4}{3}

Step-by-step explanation:

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

Here

(x_1, y_1)=(2, -4) \ \ and \ \  (x_2, y_2)=(5, -8)

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

m=-\frac{4}{3}

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After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




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3 years ago
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