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Scilla [17]
3 years ago
14

Write the slope intercept form of the equation of the line through (-4,5) and a slope of -2

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

y=-2x-3

Step-by-step explanation:

y-y1=m(x-x1)

You might be interested in
(14,-1),(5,7) slope
S_A_V [24]

Answer:

(-9, 8)

Step-by-step explanation:

(14, -1) >> (x1, y1)

(5, 7) >> (x2, y2)

(y2 - y1)           7 - (-1) = 8

----------- >>>

(x2 - x1)           5 - 14 = -9

x always goes first in a coordinate, so

(-9, 8)

Hope this helped ;)

3 0
3 years ago
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,5
KonstantinChe [14]

Answer:

C

Step-by-step explanation:

The point slope form of a line is y - y_1 = m(x-x_1). If the point is (2,5) then the equation will be y - 5=m(x-2). Only option C matches this equation.

6 0
3 years ago
What is the probability of first drawing a red card, then a face card, and then a black card? Do not round your intermediate com
lozanna [386]

Answer:

 [ 26 / 425 ] ≈ 0.0612

Step-by-step explanation:

Solution:-

- First we will describe the standard deck of 52 cards in terms of black, red and face cards found in a standard deck

- Following is a table of distribution of colored and face card found in a standard deck:

                 Type                   Number of cards

                 1 - 10                                40

                 Black                               26

                 Red                                 26

                 Face                                12

- The numerical cards from digit ( 1 to 10 ) are found in all 4 suits ( Clubs, Diamonds, Spades, and Hearts ). Hence, 10 x 4 = 40

- The entire deck is split in two colors ( Red and Black ) equally. So, the number of Black and Red cards are = 52 / 2 = 26 cards.

- The face cards are of three types ( King, Queen and Jack ). These three face cards are found in each of the 4 suits. Hence, Total number of face cards are = 4 * 3 = 12

- We will now consider the probabilities asscociated with each type. We will define 3 events and write down their proability as expressed:

Event ( A ): First draw is a red card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 red card in a standard deck of 52 cards. Hence,

            p ( A ) = [ Number of red cards ] / [ Total cards in a deck ]

            p ( A ) = [ 26 ] / [ 52 ]

            p ( A ) = 1 / 2

- After we make the first draw of a red card. Our deck distribution is changed to Number of Red cards remaining = 25 and total deck now has 51 cards remaining.

- We will define the next event as:

Event ( B ): The second draw is a face card.

- The probability of this event can be determined with the help of the table given above. There are a total of 12 face cards in a standard deck of 52 cards which is now down to 51 cards. Hence,

            p ( B ) = [ Number of face cards ] / [ Total cards in a deck ]

            p ( B ) = [ 12 ] / [ 51 ]

            p ( B ) = 4 / 17

- After we make the first draw of a face card. Our deck distribution is changed to Number of Face cards remaining = 11 and total deck now has 50 cards remaining.

- We will define the next event as:

Event ( C ): The third draw is a black card.

- The probability of this event can be determined with the help of the table given above. There are a total of 26 black cards in the deck. The total number of cards are down to 50 cards only. Therefore,

            p ( C ) = [ Number of black cards ] / [ Total cards in a deck ]

            p ( C ) = [ 26 ] / [ 50 ]

            p ( C ) = 13 / 25

- The entire drawing process consists of 3 events which are dependent on each draw. However, for the overall event to occur i.e drawing a red card , then a face card, and then a black card. We will multiply all three outcomes as follows:

          p ( T ) = p ( A ) * p ( B ) * p ( C )

          p ( T ) = [ 1 / 2 ] * [ 4 / 17 ] * [ 13 / 25 ]

          p ( T ) =  [ 26 / 425 ] ≈ 0.0612

4 0
3 years ago
Plz help....................
Dominik [7]

Answer:

I think it is 10x +40

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
In art class, Kim is mixing paint. The paint mixture is 3 parts yellow and 5 parts blue. What percent of the paint is yellow? Qu
AlekseyPX
Altogether there are 8 parts.  Thus, the part that is yellow is 3/8, or 37.5%
7 0
2 years ago
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