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viktelen [127]
2 years ago
13

Write an equation in point slope form for a line that includes the origin and (9,-3)

Mathematics
1 answer:
aivan3 [116]2 years ago
3 0
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope  -1/3 and y intercept 0</span>
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One step equations x/4 =9
Tamiku [17]

Hi Natalie

We have x/4 = 9

All you have to do is cross multiplication

x = 4*9

x= 36

That's all :)

I hope that's help:)


Now if you wanna check my answer just replace x by 36

36/4 = 9

9= 9

Because when you divide 36 by 4 you will find 9


I hope that's help:)

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What are the slope between (-5,-2) and (8,13)​
Cerrena [4.2K]

Answer:

The slope:

m = \frac{15}{13}

Step-by-step explanation:

-To determine the slope of the following points shown, you need this formula:

m = \frac{y_{2} - y{1}}{x_{2} - x_{1}}

(m represents the slope, (x_{1}, y_{1}) represents the first coordinate and (x_{2},y_{2}) represents the second coordinate)

-Apply the following points to the formula:

m = \frac{13 + 2}{8 + 5}

Then, solve:

m = \frac{13 + 2}{8 + 5}

m = \frac{15}{13}

So, the slope is \frac{15}{13}.

8 0
3 years ago
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It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 househo
BartSMP [9]

Complete Question

It is found that on average, 9% of the population recycles its garbage. Under this assumption, if a random sample of 120 households in Iowa City is taken, would you be surprised to find that fewer than 3% of households in the sample recycle their garbage? Use the fact that p-hat has an approximately normal distribution.

Group of answer choices

A I would not be surprised because there are lots of lazy students in Iowa City.

B I would not be surprised because 3% is not that far away from 9%.

C I would be surprised because Iowa City is a very clean community which means lots of people recycle their garbage.

D I would be surprised because if the 9% average is true, the chance of a sample proportion being less than 3% is very small (only 1%). Who cares? It's only garbage!

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

    The sample size is  n  = 120

    The  mean of the proportion is  p =  0.09

   

Generally the standard deviation is mathematically represented as

      \sigma  =  \sqrt{\frac{p(1-p)}{n} }

=>   \sigma  =  \sqrt{\frac{0.09(1-0.09)}{120 } }

=>   \sigma  = 0.02612

Generally the chance that fewer than 3%   of households in the sample recycle their garbage is mathematically represented as

    P(X < 0.03) =  P( \frac{X - p}{\sigma}  <  \frac{0.03 -0.09}{0.02612} )

    P(X < 0.03) =  P( Z  < -2.297 )

From the z-table  

     P( Z  < -2.297 ) = 0.01

=> [tex]P(X < 0.03) = 0.01/tex]

=>   [tex]P(X < 0.03) = 1\% /tex]

4 0
2 years ago
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