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3 years ago

What is the equation in standard form for (0,3) and (7,0)

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Answer:

3x + 7y = 21

Step-by-step explanation:

We have value of two points (0,3) and (7,0)

First, let's find the slope of this line. The formula for slope is:

Change in y/Change in x or (y₂ - y₁)/(x₂-x₁)

Where x₁ = 0 x₂= 7 y₁ = 3 y₂ = 0

(y₂ - y₁)/(x₂-x₁)

= (0-3)/(7-0)

=-3/7

Now we can write the equation in point-slope form:

y-y₁ = m(x-x₁)

y - 3 = -3/7(x-0)

y-3=-3x/7

y=-3x/7 + 3

Now let's convert this to standard form, by making the y-intercept by itself:

Ax + By = C

y=-3x/7 + 3

Multiply through by 7

7(y) = 7(-3x/7) + 7(3)

7y = -3x + 21

3x + 7y = 21

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A cell phone plan costs $200 to start. Then there is a $50 charge each month

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Step-by-step explanation:

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2 years ago

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solong [7]

Answer:

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Step-by-step explanation:

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2 years ago

Identify an equation in slope-intercept form for the line parallel to y=-3x+7

Anit [1.1K]

Answer:

y + 4 = -3(x -2)

Step-by-step explanation:

A line parallel to y = -3x + 7 also has a slope of -3.

Use the point-slope formula:

y - k = m(x - h)

Inserting the given info, we get:

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3 years ago

The distribution of prices for home sales in a certain New Jersey county is skewed to the right with a mean of $290,000 and a st

I am Lyosha [343]

Answer:

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

Step-by-step explanation:

Step(i):-

Given the mean of the Population( )= $290,000

Standard deviation of the Population = $145,000

Given the size of the sample 'n' = 100

Given 'X⁻' be a random variable in Normal distribution

Let X⁻ = 325,000

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{325000-290000}{\frac{145000}{\sqrt{100} } } = 2.413$

Step(ii):-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413)$

= 0.5 - A(2.413)

= 0.5 - 0.4920

= 0.008

Final answer:-

The probability that the mean of the sample is greater than $325,000

$P( X > 3,25,000) = P( Z >2.413) = 0.008$

6 0

2 years ago

Explain tge distace formula. then use it to calculate the distance between A(1,1) and B(7,-7).

Juliette [100K]

The distance formula is based on the Pythagorean Theorem:

Distance = Square Root [(X2 - X1)^2 + (Y2 - Y1)^2]
Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm

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3 years ago