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Evgesh-ka [11]
3 years ago
15

Write an equation that represents the line going through the points (-4, 12) and (2, 15) HELPPP ASAPPP

Mathematics
1 answer:
monitta3 years ago
5 0

First we need the slope, which we can get using (y2 - y1) / (x2 - x1)

Plug in our coordinates and we get

(15 - 12) / (2 - -4)

3 / 6

1 / 2

So, our slope is 1/2.

Then, we take 1/2 of one of our x values, say, 2, and we get 1. How do we go from 1 to 15? We add 14. So our y - intercept is 14.

All this plugged into y = mx + b gives us the equation y = 1/2 x + 14

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Answer:

\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

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Step-by-step explanation:

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