All categories

2 years ago

Find the equation of the line that passes through (1,6) and (3,10).

Mathematics

1 answer:

anastassius [24]2 years ago

6 0

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line

y = m x + b standard form of straight line

y = 2 x + b where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4 from our first equation

Also, b = 10 - 6 = 4 check from second equation

y = 2 x + 4 is our equation

Check if y = 6 and x = 1 then

y = 2 * 1 + 4 = 6 verifying the first point given

You might be interested in

What is the five number summary for the data 0,2,2,4,5,5,5,5,7,11

salantis [7]

The five number summary data for the data-set is:

Smallest value: 0.

First quartile: 2.

Median: 5.

Third quartile: 6.

Greatest value: 11.

<h3>What is the five number summary of a data-set?</h3>

The five number summary of a data-set is composed by:

The smallest and the greatest value.

The first quartile, which is the median of the bottom 50%.

The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.

The third quartile, which is the median of the upper 50%.

For this problem, we have that:

The smallest value is of 0.

The greatest value is of 11.

The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:

Me = (5 + 5)/2 = 5.

The first half of the data-set is:

0, 2, 2, 4.

Hence the first quartile is:

Q1 = (2 + 2)/2 = 2.

The second half of the data-set is:

5,5,7,11.

Hence the third quartile is:

Q3 = (5 + 7)/2 = 6.

More can be learned about the five number summary data of a data-set at brainly.com/question/17110151

#SPJ1

3 0

1 year ago

A rectangular pool is 20 ft wide and 50 ft long. the pool is surrounded by a walkway. the walkway is the same width all the way

Ratling [72]

50wideis the walkway

8 0

3 years ago

Find x step by step (10 points)

AleksandrR [38]

Answer:

$\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$

Step-by-step explanation:

1) Subtract $m^{2}$ from both sides. This should leave you with $x^{2}=n^{2}-m^{2}$ .

2) Square root both sides. This should leave you with $x=\sqrt{n^2-m^2}$ & $x=-\sqrt{n^2-m^2}$ .

<em>You can stop here if this is what the problem is asking for. However, it is not fully simplified.</em>

<em />

3) Factor the equation. This should leave you with $\sqrt{(n-m)(n+m)}$ & $-\sqrt{(n-m)(n+m)}$ .

4 0

2 years ago

Read 2 more answers

If rectangle ABCD was reflected over the y-axis, reflected over the x-

olga_2 [115]

Answer:

-4, 1

Step-by-step explanation:

5 0

3 years ago

What is the answer to x-2=7

saul85 [17]

x-2=7

apply additon property of equality

x-2+2=7+2

x=9

6 0

3 years ago