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Vedmedyk [2.9K]
3 years ago
8

A line passes through (2,8) and (4,12) WHICH EQUATION BEST REPRESENTS THE LINE

Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
6 0
Well to find this answer, you would have to know the formula of a line, or also known as slope intercept form-- "y= mx+b" 

1) Let's find the slope between the two points! (Use the y1-y2 over x1-x2 slope formula) 

y1-y2
-------- = slope formula. Use the points 2,8 and 4,12
x1-x2 


12-8       4           2
------  =  ----  =    -----  = our slope is 2! 
4-2         2           1
                     ^---- Here we simplify 

2) Now we know our slope is 2! Substitute this into the y=mx+b formula 

y=2x+b

3) Take one of the points we used for finding the slope and substitute it into our slope-intercept formula. That way we can solve for "b", our y-intercept. 

y=2x+b
8= 2(2)+b  MULTIPY 
8= 4 +b
-4  -4        SUBTRACT (inverse operations) 
----------
4=b        SIMPLIFY (our final answer) 

4) Now we know our y-intercept! Substitute it into the slope-intercept form to get our line. 

y=2x+b
y=2x+4

5) Check your work by taking one of the points from above and substitute again! 

y=2x+b
12= 2(4)+4
12= 8+4
12=12

Our equation works! 


algol [13]3 years ago
3 0
0.09 times bc of u do 58 divided by 607 u will get 0.09555189456
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7 0
3 years ago
A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d
Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 19.7, \sigma = 2

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

Z = \frac{X - \mu}{\sigma}

Z = \frac{21.4 - 19.7}{2}

Z = 0.85

Z = 0.85 has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

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3 years ago
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