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snow_tiger [21]
3 years ago
9

Which equation of a line passes through the points (3, −1) and (6, 1)?

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

Y = 2/3x - 3

Step-by-step explanation:

Recall the general equation for a straight line is

y = mx + b

where m is the gradient and b is the y-intercept

given 2 points whose coordinates are (x1, y1) and (x2, y2), m can be found with the following formula:

m = \frac{y1-y2}{x1-x2}

in this case, x1 = 3, y1 = -1, x2 = 6, y2=1

applying these values to the formula for m will give

m =  (-1 -1) / (3-6) = 2/3

We can see immediately that only the first (top-most) answer has this value for m and we can guess that this is probably the answer.

But we can still check to confirm:

If we substitute this back into the general equation, we get:

y = (2/3)x + b

In order to find the value for b, we substitute any one of the 2 given points back into this equation. Lets choose (6,1)

1 = (2/3)(6) + b

1 = 4 + b

b = -3

Confirm  Y = 2/3x - 3 is the answer.

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14x+7y=217 <br> 14x+3y=189
kondor19780726 [428]

Answer:

y = 7

x = 12

Step-by-step explanation:

14x+7y=217, then 14x = 217 - 7y

14x+3y=189, then 14x = 189 - 3y

217 - 7y = 189 - 3y

add 7y to each side of the equation:

4y + 189 = 217

subtract 1890 from each side:

4y = 28

divide both sides by 4:

y = 7

14x + 3(7) = 189

subtract 21 from each side:

14x = 168

divide both sides by 14:

x = 12

4 0
2 years ago
Drag each title to the correct box. Not all tiles will be used
mestny [16]

Answer:

4, 1, 6.

See explanation

Step-by-step explanation:

You are given the equation

d=vt-\dfrac{1}{2}at^2

First subtract vt from both sides:

d-vt--\dfrac{1}{2}at^2

and multiply the equation by -1:

vt-d=\dfrac{1}{2}at^2\ \ \ \ (1)

Now multiply (1) by 2:

2(vt-d)=at^2\ \ \ \ \ (2)

At last, divide by a

t^2=\dfrac{2(vt-d)}{a}\ \ \ \ \ (3)

5 0
3 years ago
Jack is at the zoo looking up at a monkey
sasho [114]

The height of the pole at which the monkey is at the top is 10.2 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Let h represent the height of the pole, hence using trigonometric ratio:

tan(23) = h/24

h = 10.2 feet

The height of the pole at which the monkey is at the top is 10.2 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

4 0
1 year ago
Kayla makes $8.30 an hour working at a clothing store. She is scheduled to get a 15% raise. Which expression can be used to calc
weqwewe [10]

Answer: her increase is 1.245 dollars an hour

Step-by-step explanation:

7 0
2 years ago
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adoni [48]

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<h3>What is insurance?</h3>

Insurance is when a third-party (the insurer) promises to indemnify another party (the insured) for losses they might suffer in the future in exchange for agreed upon payments.

Permanent life insurance is a type of insurance that provides a coverage that never expires. The person with a permanent life insurance is covered until he or she passes on. Whole life insurance is a type of permanent life insurance that has a fixed and guaranteed premium and a fixed death benefit.

Term life insurance is a type of insurance that provides coverage to a person only for a scheduled period of time. For example, a person who buys a 10 year term life insurance, the person's insurance only lasts for 10 years. If the person passes on within the 10 years, his beneficiary receives payments. If the person passes on after 10 years, his beneficiary does not receive any payments.

To learn more about insurance, please check: brainly.com/question/17548705

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5 0
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