which equation represents the line that passes through (5,8) and (9,2)

Answers

Answer 1
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!


Related Questions

Fast food hamburgers have high amounts of cholesterol. Two McDonald’s Quarter Pounders and three Burger King Whoppers contain a total of 395 mg of cholesterol. Three Quarter Pounders and one Whopper contain a total of 288 mg of cholesterol. Determine the cholesterol content in each hamburger.

Answers

Answer:

McDonald’s Quarter Pounders = 67 mg of cholesterol

Burger King Whoppers = 87 of cholesterol

Step-by-step explanation:

McDonald’s Quarter Pounders = m

Burger King Whoppers = b

2m + 3b = 395

3m + 1b = 288

3m + b = 288

b = -3m + 288

2m + 3b = 395

2m + 3(-3m + 288) = 395

2m - 9m + 864 = 395

- 7m + 864 = 395

- 7m/7 = -469/7

-m = -67

-m/-1 = -67/-1

m = 67

2m + 3b = 395

2(67) + 3b = 395

134 + 3b = 395

3b = 395 - 134

3b = 261

3b/3 = 261/3

b = 87

Check: m = 67; b = 87

2m + 3b = 395

3m + 1b = 288

2m + 3b = 395

2(67) + 3(87) = 395

134 + 261 = 395

395 = 395

3m + 1b = 288

3(67) + 1(87) = 288

201 + 87 = 288

288 = 288

(Probs too late but welp :p)

I will mark brainest if it is right
1. 8x + 16 = 6x - 12
x=

Answers

Answer:

x = − 14

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hope this helps :)

Answer:

x= -14

Step-by-step explanation:

Isolate x to one side of the equation so subtract the 6x from 8x to get 2x

New equation

2x+16= -12

Now subtract 16 from both sides, so 16 minus 16 cancels out and then -12 - 16 equals -28

Newest equation

2x= -28

divide by 2 to isolate the x

So the answer is -14

x= -14

Hope this helps you!!!

What is the slope for 1.(4,9) & (1,6)

2.(5,3) & (5,-9) 3.(2,1) & (8,9)

4.(14,-8) & (7,-6). 5.(4,-3) & (8,3)

Answers

Step-by-step explanation:

1.(4,9) & (1,6)

m=y²-y¹/x²-x¹

m=6-9/1-4

m=-3/-3

m= 1

2.(5,3) & (5,-9)

m=y²-y¹/x²-x¹

m=(-9)-3/5-5

m=-12/0

3.(2,1) & (8,9)

m=y²-y¹/x²-x¹

m=9-1/8-2

m=8/6

m= 4/3

4.(14,-8) & (7,-6)

m=y²-y¹/x²-x¹

m=(-6)-(-8)/7-14

m=2/-7

m= -2/7

5.(4,-3) & (8,-3)

m=y²-y¹/x²-x¹

m=(-3)-(-3)/8-4

m=0/4

m=0

6.(-11,1) & (-2,6)

m=y²-y¹/x²-x¹

m=6-1/(-2)-(-11)

m=5/9

Will give branliest answer:)


What is the opposite of each number?

Drag the answer into the box to Match each number.

Answers

Answer:

0.24 → -0.24

1/4 → -1/4

0 → 0

-5 → 5

240 → -240

Step-by-step explanation:

Hope this helped! :)

How does the value of m affect the graph of the
equation?

Answers

The value of m determines the slope of the line and shows whether the line with be negative, positive, undefined, etc..

HELP THIS IS AN EMERGENCY I ONLY HAVE 5 MINUTES HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! COME GET UR POINTS FIRST ANSWER=BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The quotient of a number and 4, minus 11, is -8

Answers

Answer:

What do you need help with?

Step-by-step explanation:

Answer:

X/4 - 11

Step-by-step explanation:

Quotient is the answer of a division problem so x divided by 4 minus 11 is the equation.

Hope this helps. Pls give brainliest.

Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statements are true?

Answers

Answer:

Marguerite sailed 4 hours on Saturday and 3 hours on Sunday.

Step-by-step explanation:

Answer:

❌She sailed for 4 hours.

✅She sailed for 7 hours.

❌She sailed 44 miles in all.

✅  She sailed 77 miles in all.

Your Welcome!!!

please help me, as soon as possible!!

Answers

1. irrational
2. irrational
3. rational
4. rational
5. rational

maggie spent half of the money in her savings account on a new computer if the computer was $345 how much was in her savings account

Answers

690 is the answer (i think)

Answer:

172.5

Step-by-step explanation:

its 172.5 because 345÷2 equals 172.5 therefore she had 172.5 dollars in her savings

Tiana was going to sell all of her comic book collection to buy a video game. After selling half of them she changed her mind. She then bought nine more. How many did she start with if she now has 39?

Answers

Answer:

60

Step-by-step explanation:

60 divided by 2 equals 30 + 9

What is 1 & 1/8 divided by 2 & 1/4

A= 32/81

B= 2

C=1/2

D=3 & 1/2
Help pls 25 points

Answers

Answer:

0.5

C

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

750% as a decimal mixed number or fraction

Answers

Answer:

750% as a decimal is 7.5

It’s 7.5 as a decimal 7 1/2 as a mixed number

Assignment

What is -3/4 + 2 3/4

3 1/2
3 3/4
2 1/2
2

Answers

Answer:

D) 2

Step-by-step explanation:

When you have [tex]2\frac{3}{4}[/tex] and you subtract [tex]\frac{3}{4}[/tex] from it, you result in 2.

the [tex]\frac{3}{4}[/tex] in the 2 and by itself cancel out.

#teamtrees #WAP (Water And Plant)

Another geometry problem

Answers

Answer:

70 degrees

Step-by-step explanation:

2x+15=4x-5

subtract 2x from both sides

15=2x-5

add 5 to both sides

2x=20

divide both sides by 2 to get x by itself

x=10

You now have to add the equations together and plug in the x

(2(10)+15) + (4(10)-5)

(20+15) + (40-5)

35+35= 70

70 degrees

Write 6300 kg in grams, giving your answer in standard form.

Answers

Answer:

6300000 g / 63⁵g

Step-by-step explanation:

1kg = 1000g

6300kg × 1000 = 6300000g

= 63⁵g

1 kg = 1000 gram
6300 * 1000 = 6.3 * 10^5

5. What three consecutive integers have a sum of 21?

Answers

The answer is 6,7,8.

help me please !!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I believe it would be 3n^2 (last option)

Step-by-step explanation:

By definition;

monomial- one term

coefficient- the number in front of a variable

(in this case, without the squared power, it would look something along the lines of "3n", where the 3 is the coefficient and the "n" is the variable.)

sooooooo,

even without the "2nd degree" we can just use the system of elimination and cross out the answers that don't consist of one number, and that don't have a coefficient of 3.

I hope this answer was helpful, please let me know if you got it correct. :)

Wanda's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 75 espressos in all, 51 of which were single-shot. What percentage of the espressos were single-shot?

Answers

Answer:

68%

Step-by-step explanation:

51/75 × 100% = 68%

Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Franco uses 114 cups of powdered mix for every 5 gallons of water.

Answers

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

helppppppppppppppppppppppp will give brainlyest

Answers

Answer:

Step-by-step explanation:

(C) ( - 10, 6 )

Solve for x . Help me

Answers

x = 26 because all the angles in a triangle add up to 180.

There are 8 squares and 6 triangles. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

3:7

Step-by-step explanation:

total no. of shapes:

8+6=14shapes

ratio is;

triangle:total shapes

6:14=6/14

=3/7

ratio is 3:7

Which inequality models this situation?

Answers

Answer:

last one

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

1. Solve for x. 5% + 15 = 28 (5 points)

Answers

Answer:x=2.6

Step-by-step explanation:

Simplifying (5x + 15) = 28 Reorder the terms: (15 + 5x) = 28 Remove parenthesis around (15 + 5x) 15 + 5x = 28 Solving 15 + 5x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 28 + -15 Combine like terms: 15 + -15 = 0    0 + 5x = 28 + -15 5x = 28 + -15 Combine like terms: 28 + -15 = 13 5x = 13 Divide each side by '5'. x = 2.6 Simplifying x = 2.6

please help SAP!!!

i will give brainliest!! :)

Answers

Answer:

M and N are similar but not congruent

Step-by-step explanation:

M and N look the same but aren´t the same width or height so there similar but not congruent.

Seth is playing an arcade game. He
earns 25 points if he hits the target and
loses 25 points if he misses it. At the
beginning of the game, Seth has
0 points. On his first attempt, Seth hits
the target. On his second attempt, Seth
misses the target. How many does Seth have after his second attempt?

Answers

Answer:

0

Step-by-step explanation:

+25 for the first attempt but -25 for the second

This is a special cube, which has numbers from 1 to 6 marked on its six faces. (Each number is marked on exactly one face.) Also, the sum of each pair of opposite faces is the same

Answers

Answer:

This is a die used to play games. Well we generally use more than one, so we use dice. The addition of each pair of opposite sides always yields 7:

1 + 6 = 72 + 5 = 73 + 4 = 7

Dice games are very popular and they can also help understand how math and probability work. As with all games, probability always favors the house, but the risk of loss is part of the entertainment.

Is this question complete, or is it missing some requirements?

15. Algebraically solve the inequality
6x+17> 5(2x+1)
+
Graph your solution on the number line below
-10
-3
0
10

Answers

Answer:

-3

Step-by-step explanation:

HELPPPP MEEEEE PLEASEEEEEEE

Answers

y=4-7x
because it equals = -7
and
y= -5/4x + 2
because it equals = -5/4

Determine the pattern rule for the table and write it as an equation.​

Answers

Answer:

The rule is: y = -10x+85

Step-by-step explanation:

The rule is given by:

[tex]y = mx+b[/tex]

Here m is the gradient and b is the y-intercept.

We have to take two pairs of input-output to find the rule

Let the two pairs be:

(x1,y1) = (1,75)

(x2,y2) = (2,65)

Slope is found using the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{65-75}{2-1}\\m = -10[/tex]

Putting the value of slope

[tex]y = -10x+b[/tex]

Putting a pair of input-output in the equation (1,75)

[tex]75 = -10(1) +b\\75 = -10+b\\b = 75+10\\b = 85[/tex]

Putting the value of b

[tex]y = -10x+85[/tex]

Hence,

The rule is: y = -10x+85

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