Write an equation of the line through the points (-3, 3) and (7, 5) in slope-intercept form. What is the y-intercept?

Answers

Answer 1
First get the slope, m.

m = change in y / change in x = (5 - 3)/(7 - (-3)) = 2 / 10 = 1/5
You can also do reverse the order of subtractions = (3 - 5)/(-3 - 7) = -2 / -10 = 1/5

Now substitute the value of m and either (x,y) point into the slope intercept equation:

y = mx + b

5 = (1/5) 7 + b
5 - 7/5 = b
(25 - 7)/5 = b
18/5 = b

Final answer:

y = 1/5 x + 18/5

Related Questions

Raul can hit a golf ball 26.4 yards.A.J. can hit a golf ball 10 times as far how far can A.J. hit the ball

Answers

26.4 yards x 10 = 264 yards.
A.J. can hit the ball 264 yards

A manufacturer of electronic kits has found that the mean time required for novices to assemble its new circuit tester is 3 hours, with a standard deviation of0.20 hours. A consultant has developed a new instruc- tional booklet intended to reduce the time an inexpe- rienced kit builder will need to assemble the device. In a test of the effectiveness of the new booklet, 15 nov- ices require a mean of 2.90 hours to complete the job. Assuming the population of times is normally distrib- uted, and using the 0.05 level of significance, should we conclude that the new booklet is effective? Determine and interpret the p-value for the test.( DATA SET ) Note: Exercises 10.33 and 10.34 require a computer and statistical software.

Answers

Testing the hypothesis using the z-distribution, it is found that since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

At the null hypothesis, we test if there has been no improvement, that is, the time is still of 3 hours. Hence:

[tex]H_0: \mu = 3[/tex]

At the alternative hypothesis, we test if there has been improvement, that is, the time is of less than 3 hours. Thus:

[tex]H_1: \mu < 3[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.

In this problem, the values of the parameters are: [tex]\mu = 3, \sigma = 0.2, \overline{x} = 2.9, n = 15[/tex].

Then, the value of the test statistic is:

[tex]z = \frac{2.9 - 3}{\frac{0.2}{\sqrt{15}}}[/tex]

[tex]z = -1.94[/tex]

The p-value of the test is the probability of finding a sample mean of 2.9 hours or less, which is the p-value of z = -1.94.

Looking at the z-table, z = -1.94 has a p-value of 0.0262.

Since the p-value of the test is of 0.0262 < 0.05, it can be concluded that the new booklet is effective.

A similar problem is given at https://brainly.com/question/25413422

What is the x-intercept of the line shown below? Enter your answer as a
coordinate pair.

Please help asap :(

Answers

Answer:

x-intercept: (1, 0)

Step-by-step explanation:

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates, (a, 0).  Looking at the two points on the graph, one of them crosses the x-axis at point (1, 0). This represents the x-intercept of the line.

Therefore, the x-intercept of the line is (1, 0).

Complete each short proof by providing the reason.

Answers

Answer:

B) Substitution Property of Equality

Step-by-step explanation:

According to the given:

m∠2 + m∠5 = 180° andm∠5 = 90°

Substitute m∠5 into the first line to get line 3:

m∠2 + 90° = 180°

This is option B:

Substitution Property of Equality

Option C

This is substitution property of inequality

Here given two expressions

m<2+m<5=180°m<5=90°

Substitute m<5 in eq(1)

m<2+90=180m<2=180-90m<2=90

Charlene operates an oil change and tune up service she chargers $33.95 per oil change a tune up is $72.50 for a four cylinder engine,$82.50 for a six cylinder engine and $92.50 for an eight cylinder engine what are the chargers for a week in which Charlene’s facility did 35 oil changes and tuned 5 four cylinder engines 7 six cylinder engines and 2 eig cylinder ht engines

Answers

The total amount Charlene’s facility made $19,148.25

What are the solutions to the following equation?

Answers

Answer:

What equation?

Step-by-step explanation:

X+3y=55 -x+2y=20
Me ajude por favor

Answers

Answer:

x + 3y = 55

-x -x

3y = -x + 55

3 3

y = -1/3x + 55/3

-x + 2y = 20

+x +x

2y = x + 20

2 2

y = 1/2x + 10

Espero que esto ayude :)

Por cierto, no soy un hablante nativo de español.

Name three other points with integer coefficients that are on the segment with the end points (4,9) and (8,9).

Answers

Answer:

Step-by-step explanation:

y = mx + b

m = Δy/Δx = (9 - 9) / (8 - 4) = 0

y = 9

is a horizontal line nine units above the x axis.

choose any 3

(-3, 9) (-2, 9) (-1, 9) (0, 9) (1, 9) (2, 9) (3, 9) (4, 9) (5, 9) (6, 9) (7, 9)

what is 10000 times 12

Answers

Answer: 120,000

Step-by-step explanation:  

10,000 x 12 = 120,000

brainiest who whoever correct!!

Answers

Answer:

All triangles measure 180 degrees. Angle B in Triangle BCD is congruent to angle D in triangle ABD. Angle D in triangle BCD is congruent with Angle B in triangle ABD.

Given these statements M<C= 50 degrees

Step-by-step explanation:

68+62=130

180-130=50

m<C= 50

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

See Below

Step-by-step explanation:

<4 and <8 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.

<1 and <8 are on the outside, meaning they are exterior and on opposite sides. This means they are alternate exterior angles.

<1 and <5 are in corresponding positions in relations to the lines' intersection of the transversal, therefore they are corresponding angles.

<4 and <7  are on the inside, meaning they are interior and on the same side. This means they are same side interior angles.

hi people a pus 7 a= 16000

Answers

Answer:

A=2285.71428571 or rounded up is 2286

Step-by-step explanation:

7A=16000

7.        7

A=2286

Divide 7A to get A alone

:D hope i was able to help

Please help ASAP thanks:)

Answers

Answer:

A. [tex]\frac{rs-t}{2}[/tex]

Step-by-step explanation:

Given the expression [tex]s = \frac{2x+t}{r}[/tex] isolate [tex]x[/tex]

The first step is multiply both sides by [tex]r[/tex] then you have

[tex]sr = 2x + t[/tex]

know substract both sides by [tex]t[/tex]

[tex]sr - t = 2x[/tex]

The last step is multiply by [tex]\frac{1}{2}[/tex] both sides of the equation and get the answer

[tex]\frac{sr - t }{2} = x[/tex]

A box weighs 64 ounces. What is the weight of the box in pounds?

Answers

Answer:

4

Step-by-step explanation:

its 4 because you have to convert ounces to pounds or pounds to ounces.

Answer:

4

Step-by-step explanation:

when we count ounces(Oz) to pound (ib) we should do

IB=Oz/16

IB=64/16

=4 this is your answer

Sally wants to buy a cell phone. The price of the cell phone she had wanted had increased from $200 last week to $240 this week. What is the percent increase in the price of the cell phone?

Answers

20%

200 divided by 5 equals 40

Y+3=1/3(x-5)
How would I solve and graph this equation

Answers

Answer:

y=1/3(x-5)-3

graph is in attachment I added

Step-by-step explanation:

So you would subtract 3 from both sides which makes the equation look like this y=1/3(x-5)-3

And the graph is in the picture.

.A study of 800 homeowners in a certain area showed that the average value of the homes was $82,000, and the standard deviation was $5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83,500.

Answers

There is 1.70% that 50 homes have a value greater than $83,500.

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\mu=mean,\sigma=standard \ deviation,n=sample\ size[/tex]

μ = $82000, σ = 5000, n = 50. Hence for x > 83500:

[tex]z=\frac{83500-82000}{5000/\sqrt{50} }\\\\\\z=2.12[/tex]

From the normal distribution table, P(x > 83500) = P(z > 2.12) = 1 - P(z < 2.12) = 1 - 0.9830 = 0.0170 = 1.70%

Find out more at: https://brainly.com/question/7449180

1/4 times the sum of a number and −3.2 is 1.8. What is the number?

Answers

Answer:

10.4

Step-by-step explanation:

Let the number be x

Sum of  x  and -3.2 : x + (-3.2) = x - 3.2

1/4 times the sum of a number and −3.2 = (1/4) * (x - 3.2)

[tex]\dfrac{1}{4}* \left( x - 3.2 \right) = 1.8\\\\\Multiply \ the \ whole \ equation \ by \ 4 \\\\4*\dfrac{1}{4} *(x - 3.2) = 1.8*4\\\\\\x - 3.2 = 7.2\\\\Add \ 3.2 \ to \ both \ sides\\\\\\x = 7.2 + 3.2\\[/tex]

x = 10.4

Answer:

10.4

ANSWER:

(10 2/5)

Step-by-step explanation:

k12

There are 22 children at the park. 5 children are on the swings. The rest of the children are playing ball. How many children are playing ball?

Answers

Answer: 17

Step-by-step explanation:

22-5=17

y=1/2(x+8)+3 please show work also write in y=mx+b

Answers

Answer:

y = 1/2x + 7

Step-by-step explanation:

y= mx + b is written in slope- intercept form. Plug in the numbers.

you distribute 1/2 to x and to 8

y= 1/2x + 4 + 3

simplify

y= 1/2x + 7

the problem can't be anymore simplified

If you have any questions pls ask!

in order to select new board members, the french club held an election. 8 members voted in the election and 42 did not vote. what percentage of the members voted

Answers

Answer:

16%

Step-by-step explanation:

If you do 8+42, you will find out there are 50 members. Do 8/50 and you get 0.16. Multiply it by 100 and you get your answer of 16, add the percentage at the end. Then you get your answer of 16%.

Answer:

16%

Step-by-step explanation:

Total members: 8+42 = 50

What percentage is 8 of 50

x/100 = 8/50

(8 * 100) / 50 = 16%

A gopher left its burrow 2 feet underground and started digging deeper into the ground. It digs straight down at a constant rate of 3 feet per minute. How long does it take the gopher to reach 17 feet underground?
Enter your answer in the box.

Answers

Answer:

It was wrong but here is the correct answer

Step-by-step explanation:

Answer: I'm really late but here you go

Step-by-step explanation:

John spent 2/7 of his money on fruits and spent 6/12 on pencils and erasers, what fraction of his money has he spent altogether?​

Answers

The answer will be 11/14 of money he spent

What kind of decimal is 0.05? How do you know?

Answers

Answer:

0.05 is a terminating decimal

Step-by-step explanation:

0.05 is a terminating decimal because it has finite digits.

Answer:

a terminating decimal

Step-by-step explanation:

it has finite digits and when 1 is divided by 20, it leaves no remainder

mark me brainliest :D

The survey below shows a science test grades from one state

What type of graph would be the most appropriate to use to graph the information

A. Double bar graph

B. Line graph

C. Histogram

D. Double line graph

Answers

A double line graph would be best
D double line graph

3,4 and 5,12 find the slope

Answers

It a diagujsudhdgdushe dhahshsue

Picture 1: Find the measure of each angle indicated. Picture 2: Solve for x ​

Answers

Answer: x = 1

Explanation: Correct me if I'm wrong

what is 5 ft to 18 in.

Answers

Answer:

68 inches

Step-by-step explanation:

its sixty eight inches

A tortoise or land turtle might cover about 450 feet in half an hour. What is this speed in feet per minute.

Please explain step by step and I’ll mark you brainliest!

Answers

Answer:

15 feet per minute.

Step-by-step explanation:

speed = distance ÷ timespeed = 450 feet ÷ 30 minutes15 feet per minute = 450 feet ÷ 30 minutes

can a parent be exactly 3 times older than her or his child explain

Answers

Answer:

it depends on how old the child is but theoretically yes because what if the child was ten the parent would be very young but would be thirty.

Step-by-step explanation:

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