how do you write the equation of a line (in slope intercept form) with three given points?​

Answers

Answer 1

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept

1) Solve for the slope ([tex]m[/tex])

The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].

Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].

1) Solve for the y-intercept ([tex]b[/tex])

Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.

I hope this helps!

Answer 2
You only need two points to write the equation of a line.

Slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept.

I’m going to use the points (5,3) and (8,5) to show how to write the equation.

First, find the slope. The formula to find the slope is y2-y1/x2-x1. With my points, the slope equation would look like this:
m=(5-3)/(8-5)
m=2/3

I put this into my point slope formula
y=2/3x+b

To find out the b (y-intercept), I plug in one pair of points, then solve for b. I will use (5,3)

3=2/3(5)+b
3=10/3+b
-1/3=b

I can now add b to my equation, and get y=2/3x-1/3

To double check this, I could graph this line and make sure that it crosses my selected points. Hope this helps!

Related Questions

5:60::3:x, what is the value of x?

Answers

Step-by-step explanation:

we know that product of means is equal to product of extremes so extremes are 5 and x and means are 60 and 3....

5×x=60×3

5x=180

X=180/5

X=36 Answer

Which of the following is considered a trinomial 5x ^ 2 - 3x + 5 4x ^ 2 + x - 5 (x ^ 2)/5

Answers

Answer: 4x^2 +x-5

Step-by-step explanation:

Trinomials have three terms, binomials have two. So the correct answer is 4x^2+x-5

Find the value of y.
A)
y= 5tan28°
B)
y= 5tan62°
09
y=5cos28
D)
y= 5cos62

Answers

C) I had that same question on my homework

what is 2 + 100000+50000​

Answers

Answer:

150002

Step-by-step explanation:

2+100000+50000

Add 2 and 100000 to get 100002.

100002+50000

Add 100002 and 50000 to get 150002.

150002

Answer:

150002

100000+50000+2=150002

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value in d in the point (1, d). What does that point represent?

A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile

Answers

Answer:

A. d = 25; the unit rate is 25 miles per gallon

Step-by-step explanation:

The point (1, d) on the graph represents (x, y), where,

x = gasoline used = 1 gallon

y = distance = d = 25 miles

That is, (1, d) represents when x = 1, y = 25.

Thus, (1, 25) is the unit rate which is 25miles per gallon.

60 is 25% of what number is

Answers

Answer:

240

Step-by-step explanation:

60 = x * 0.25 ----Divide each side by 0.25

60/0.25 = x

240 = x

Answer:

240

Step-by-step explanation:

25% is a fourth of 100%

So if 60 is 25% of something, you would multiply it by 4

60*4=240

Help pleaseeeeeeeeeeeeeee

Answers

[tex]y=3\frac{3}{5}[/tex]

Answer: The answer would be 3.6

You first want to add 4 to both sides to get y on one side by itself. So it would look something like this: -2/5+4=y. Then you can add which gives you y=3.6

Round 2,389.3 to the nearest ten

Answers

Answer:

2,390

Step-by-step explanation:

Answer:            

   

Step-by-step explanation:

2390

Hope that helps!

Which pair of sentences explains what happens if the wire breaks? A. The wire is part of the electric circuit. The electric current will not flow if it breaks B. The wire is not part of the electric circuit. The electric current will continue to flow, but the bulb will not light C. The wire is not part of the electric circuit. The electric current will flow but the bulb is burned out. D. The wire is part of the electric circuit. The electric current will flow if the glass bulb is not ​

Answers

Answer:\ a.The wire is part of the electric circuit. The electric current will not flow if it breaks

Step-by-step explanation:

Hope this helps!

ill mark brainlist pllsss help

Answers

Answer:

octagon

is the correct answer of this question

it has eight side

hope it helps

Answer:

Octagon

Step-by-step explanation:

A square has 4 sides. 4 more sides means 8 sides. That‘s an octagon.

make x the subject of mx+a=nx-2
step by step answer please

Answers

Easily move nx to left and a to the right side
mx-nx=-2-a
take x common factor
x(m-n)=-2-a
divide by (m-n)
x=(-2-a)/(m-n)
that said

Answer:

x=

[tex] - (2 + a) \div m - n[/tex]

2.23 round to the nearest tenth.

Answers

2.2

since the third number isn’t equal to or above 5, it rounds down.

Last week Besty made an 80 on her quiz. This week she made a 75. What is the percent of decrease in her score?

Answers

The answer should be 5%

Marc baked brownies in the brownie pan sowed below. Each day,he is going to 20 square centimeters of brownie from the pan.

Answers

Answer:

There is no image below

Step-by-step explanation:

une boxes.
Find:
5% of 90 m =
m
25% of 88 kg =
kg
75% of 264 =

Answers

Answer:

1) 5% of 90m= 4.5m

2)25% of 88kg = 22kg

3) 75% of 264= 198

Step-by-step explanation:

1) 90m = 100% (divide by 10)

9 = 10% (divide by 2)

4.5 = 5%

2) 88kg = 100% (keep on dividing by 2)

44kg = 50%

22kg=25%

3) 264 = 100%

132 = 50%

66 = 25% (add)

198=75%

which of the following are magnitudes for rotational symmetry of the rectangle below about the marked point?

Answers

Answer:

The answer is B.180°.

Step-by-step explanation:

The figure is rotationally symmetric is after a rotation of a given angle, it still look the same.

In this case of a rectangle, the only way to rotate it so that is look the same, is by rotating it by multiple of 180°, so that the up and down sides flip over, as well as the right and left sides.

Therefore, the only option that applies is B.180°

Answer:

B

Step-by-step explanation:

What side length did Mr.Freeman measure the second time?

Answers

D. 2.33

The number that has 1/10th the value of 0.3 is 0.03.

Each place value to the left of a decimal place is 10x the value of the one closer to the decimal, and each place value to the right of a decimal is 1/10th the value of the place closer.

Answer:  D) 2.33 meters

==========================================================

Explanation:

The hundredths digit is 1/10 of the tenths digit. Because of this, the tenths and hundredths digit must be the same digit.

Only choice D fits the description.

The digit in the tenths place represents the value 0.3

Taking 1/10th of this leads to (1/10)*0.3 = 0.1*0.3 = 0.03

So the hundredths place represents the value 0.03

Note that,

2 + 0.3 + 0.03 = 2.33 meters

Out of 84 students in the school Sports club, 32 students opted for Athletics, 24 students opted for

Cricket and the rest opted for Tennis. Find the ratio of the following in the simplest form.

a) Ratio of number of students opted for Athletics to total number of students.

b) Ratio of number of students opted for Cricket to number of students opted for Tennis.​

Answers

Answer:

a. 32:84 so simplified it becomes 8:21

b. 24:28 so simplified it becomes 6:7

Answer:

a) 8:21

b) 13:41

Step-by-step explanation:

a) 32:84

=8:21

b) 24:26

12:13

Please help, Thanks :)​

Answers

Answer:

C

2 x 16 = 32

4 x 16 = 64

6 x 16 = 96

8 x 16 = 128

I just need to know the equation

Answers

Answer:

y=1.5x + 3

Step-by-step explanation:

..............

not sure how to do this​

Answers

(9x + 12)

Grouping

Common factor

9+123(3+4)

Answer: 3(3+4)

-----------------------------------------------------------

(4y - 10)

Grouping

Common factor 4 − 1 0 2 ( 2 − 5 )

Answer: 2 ( 2 − 5 )

-----------------------------------------------------------

Therefore the value of y is 5

Hope this helps~~

Find the last factor of x^3+4x^2-7x-10, if two of its factors are (x-2) and (x+1)


NEED HELP ASAP PLEASE!!!

Answers

Answer:

(x+5)

Step-by-step explanation:

... ... .........

Which expressions are equivalent to 6.6.6.6.6? Choose 2 answers​

Answers

Answer:b and c

Step-by-step explanation:

Your restaurant bill comes to $46.27. Estimate a 10% tip.

Answers

If the bill of the restaurant comes to $46.27 then the tip of 10% is equal to $4.627.

What is percentage?

Percentage is number or ratio that is expressed as a fraction of 100. It is shown by % sign. It shows some quantity over other quantity. The number which shows the percentage is the number in the quantity itself.

How to calculate percentage?

We have been given that the bill of the restaurant comes to $46.27 and 10% is the tip. We have to calculate the tip.

Tip=Bill*10/100

=46.27*10/100

=4627*10/100*100

=46270/10000

=$4.627

Hence if the bill of the restaurant is $46.27 then tip will be $4.627.

Learn more about percentage at https://brainly.com/question/24304697

#SPJ2

What is the value is equal to -4.3

Answers

Answer:

- 4 and 3/10

Step-by-step explanation:

- 4.3 = - 4 and 3/10

help plz ill give extra points

Answers

Answer:15

Step-by-step explanation:

Answer:

The answer is B) 75

Step-by-step explanation:

The angle shown is a 90-degree angle. Therefore if the other angle is 15 degrees, that means that all we have to do is subtract 15 from 90.

90-15= 75 which means the angle known as x is a 75-degree angle.

Hope this helped!! Please give brainliest if it helped!

Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
Ola chooses a sweet at random .what is the probability that she pick either a yellow or orange sweet ?​

Answers

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Add all the sweets together ( that will be your denominator )

5+4+8+4+3= 24

The probability she will pick and yellow and orange ( add those numbers together)

Yellow + orange = Numerator

5+4=9

How you answer should be lay out :

[tex]\frac{Orange+ yellow sweets}{Total amount of sweets}[/tex]

Answer:

9/24

Step-by-step explanation:

add the sweets (for denominator) 5+4+8+4+3 =24 then add yellow +  orange (which is 9)

A test has multiple choice questions with 3 choices for each answer; only one answer is correct for each question. Suppose a student guesses the answer to each question. Assuming the guesses are independent, find the probability that the student will guess correctly when answering two questions. a) 1/3 b)1/9 c)1/18​

Answers

Answer:

A 1/3

Step-by-step explanation:

Erin is training for a marathon and wants to run at least 14 miles. She has already run 4 miles and starts to jog at a steady rate of 9 miles per hour.

1. Write an inequality representing the situation

2. Solve for the inequality H

Answers

Answer:

just add the miles up.

Step-by-step explanation:

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