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liq [111]
3 years ago
5

The line above goes through points (-4,0) and (0,1). what is the equation of the line?​

Mathematics
1 answer:
mariarad [96]3 years ago
5 0

Answer:

y = \frac{1}{4} x + 1

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 ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)

m = \frac{1-0}{0+4} = \frac{1}{4}

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = \frac{1}{4} x + 1 ← equation of line

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Annabelle is designing a garden. She will plant 3/12 of the lot with daffodils, 1/6 with roses, and 3/12 with tulips. How much o
zimovet [89]

Answer:

7/12 is left to plant sunflowers

Step-by-step explanation:

Let's add

1/6+ 3/12

Our denominators don't match, so we can't add yet.

Since 6 is evenly divided by 12, we can multiply just one term to get a common denominator.

Multiply 1 by 2, and get 2, then we multiply 6 by 2 and get 12.

Add to get the amount of garden used.

2/6+3/12= 5/12

Now subtract 12/12(the whole garden) from 5/12 to get remainder of garden

Answer is: 7/12

3 0
3 years ago
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Sedbober [7]

Answer:

Dependent Events

Step-by-step explanation:

Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.

If the first ball is chosen the probability will 1/3  leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3.  In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.

In this the events are called dependent events.

Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.

8 0
3 years ago
All of the benches in the park are red or blue
alexandr1967 [171]

Answer:

There's a 50% probability of all of them being red or blue

Step-by-step explanation:

More information needed

5 0
3 years ago
Read 2 more answers
Shade 1/5 of this diagram.
viktelen [127]

Answer:

Step-by-step explanation:

\frac{1}{5} means single part out of 5,

Since, \frac{1}{5}=\frac{1}{5}\times \frac{2}{2}

         \frac{1}{5}=\frac{2}{10}

Similarly, \frac{2}{10} means 2 parts out of 10.

Now we can shade 2 parts out of 10 to show \frac{1}{5} of the given figure.

(As shown in the figure attached)

4 0
3 years ago
Which equation represents the relationship between the x-and y-values shown in the table? <br>​
Roman55 [17]
The answer is y=3x-4
4 0
3 years ago
Read 2 more answers
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