find equation of line a line that is parellel to the graph of 2x+3y=5 and contains the point (3,-1)

Answers

Answer 1

Answer:

[tex]y = - \frac{2}{3} x + 1[/tex]

Step-by-step explanation:

2x +3y= 5

3y= -2x +5

Divide both sides by 3:

[tex]y = - \frac{2}{3} x + \frac{5}{3} [/tex]

[tex]y = - \frac{2}{3} x + 1 \frac{2}{3} [/tex]

Now that the equation is in the slope-intercept form (y= mx +c), the slope of the given line is the coefficient of x.

[tex]slope = - \frac{2}{3} [/tex]

Parallel lines have the same slope.

Slope of unknown line= -⅔

y= -⅔ +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= 3, y= -1,

[tex] - 1 = - \frac{2}{3} (3) + c[/tex]

-1= -2 +c

c= -1 +2

c= 1

Thus, the equation of the line is y= -⅔x +1.


Related Questions

find the difference -156-(-45)​

Answers

Answer:

-201

Step-by-step explanation:

a negative minus a negative is like adding, but keeping the same sign.

so we can do 156+45, and we get 201.

now we put the negative sign back.

-201

Another question I need an answer to since I forgot to put it in my previous one. Worth 50 points this time with a brainliest. This is not a multiple choice. Please help me this is the last one.

Answers

Answer:

64?

Step-by-step explanation:

i rlly need help--plzzzzzzzzzzzzzzzzz 10 points

Answers

Answer:

Harper is 200 yards away from her home if the map shows 3 inches

Step-by-step explanation:

50 yards = 3/4 inch

3 inches = 3/1

3/1 x 4/4 = 12/4

12/4 = 3 inches

50 x 4 = 200

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

c3+c2 factories fully

Answers

Answer:

c6 i guess

Step-by-step explanation:

solution is
c^2 (c+1)

I need help with those problems

Answers

Answer:

for the first one it's 36

for the second its 13

it has a slope of -7 and passestrough the point (-3,16)

Answers

Answer:

y = -7x - 5

Step-by-step explanation:

y-intercept= 16 - (-7) (-3) = - 5

Find the product of the following numbers. 72,010 72,020 72,120

Answers

Answer:

which product you wanna to find henry ❤

Step-by-step explanation:

I don't think

Guys please help me, I will give brainliest for the right answers

The first choices are: 5, 10, 12

The Second choices are: 10, 12, 5

The Third choices are: 70, 62, 110

Answers

the first answer would be 5 the second is 10 and the last one is 110

z – yx + x; use x = 2, y=-3, and z=4

Answers

Step-by-step explanation:

z-yx+x

4-(-3•2) +2

4-(-6)+2

4+6+2

12

Answer:

12

Step-by-step explanation:

4-(-3)•2+2

4+3•2+2

4+6+2

10+2

12

HELP PLEASEEE!!!! IM BEING TIMED!!!!!!!

Answers

Answer:

y=1x-7

Step-by-step explanation:

The area beneath the normal density curve is separated into three regions by the values
and
. Set the mean of the normal density curve to 6.4, the standard deviation to 0.7, and the -value
of
to 6.7. First, determine the value of the area to the right of .

Place
so that it equally divides the area to the left of
. What is the -value
of ?

Answers

The value of the area to the right of X > 6.7 calculated from the normal distribution principle is 0.334

Given the Parameters :

Mean, μ = 6.4Standard deviation, σ = 0.7X = 6.7

Using the Zscore formula for a normal distribution :

Zscore = (X - mean) / standard deviation

The Zscore, when X = 6.7

Zscore = (6.7 - 6.4) / 0.7 = 0.4286

The area to the right of the distribution :

P(Z > 0.4286) = 1 - P(Z < 0.4286)

Using a normal distribution table or calculator :

P(Z > 0.4286) = 1 - 0.66589 = 0.334

Therefore, the probability value of P(X < 6.7) is

P(Z > 0.4286) = 0.334

Learn more :https://brainly.com/question/8165716

When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number
that is 5 less than x. What is the value of x? Please help I will give you brainless please

Answers

answer:

x=8

Step-by-step explanation:

8+ (2x) = 8*(x-5)

8*(x-5) applies to the distributive law : a(b-c) = ab-ac

a=8 b=x c=5

8x-8*5

8x-40

then add 8+(2x) back into the equation and you have

8+(2x) = 8x-40

subtract 8

2x=8x-48

subtract 8x

-6x=-48

divide by -6

x=8

check work by plugging it in to the provided info-

8*2 = 16

16+8 = 24

8-5 = 3

3*8=  24

x=8

What is the LCM of [tex]10f^{2} gh\\and\\35f^{3} g^{2}[/tex]

Answers

Answer:

[tex]70f^{3}g^{2}h[/tex]

Step-by-step explanation:

how do you solve the following equation?

10-s=34

Answers

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

Hi Please answer this for me ill thank u and rate I Need it asap Thank U :D

Answers

Answer:4) 1.  (3^4)^3=3^12    ,

                  2.(-10^3)^6=-10^18  others are similar...

              5) 1.  (2^7/2^5)=2^2,4  ,

                  2.(a^7/a^3)=a^4   ,

                  7.  [(-4)^3 x (-4)^5)]/[ (-4)^2 x(-4)^3]=4^3   others are similar...

Step-by-step explanation: 4)1. step1. 3^(4x3) ,  2. step1. -10^(3x6)

                                                    step2. 3^12      ,     step2. -10^18

                                              5)1. step1. 2^(7-5)  ,  2. step1. a^(7-3)

                                                     step2. 2^(2)     ,      step2. a^(4)

                                                 7. step1. -4^(3+5)/-4^(2+3)

                                                     step2. -4^(8)/-4^(5)

                                                     step3. 4^(8-5)

                                                     step4. 4^(3)

Tell me pls but pls no files

Answers

Answer:

I think its A

Step-by-step explanation:

In which number is the value of the 5 ten times greater than the value of the 5 in 654,321? 658,321 536,401 65,892 58

Answers

Answer:

536,401

Step-by-step explanation:

the 5 is in the ten thousands column in 654,321. you have to times the number by ten to see what column it would be in, 6,543,210. The 5 is now in the hundred thousands column. The only number there with the 5 in in the hundred thousands column is 536,401.

PLEASE HELP ITS MATH THANK YOU

Answers

Answer:

he needs 91 packets of seeds

Step-by-step explanation:

5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91

State if the two triangles are congruent. if they are, state how you know

Answers

Answer:

by the following axioms:

1. SSS Axiom

2.ASA Axiom

3.SAS Axiom

4.AAS Axiom

5.RHS Axiom

What is the product of -4.6 and 3.2?

Steps to get there would be helpful too!

Answers

Answer:-14.72

Step-by-step explanation:

Answer:

The answer is negative 14.72

Step-by-step explanation:

this is because if you multiply negative 4.6 and 3.2

I REALLY NEED HELP PLS.....

Answers

Answer:

The last two.

[tex] - 5x + 3 \: and \: - 2x + 3 - 3x[/tex]

Step-by-step explanation:

Simplify the first set of parentheses to get

[tex] - 5 \frac{1}{3} x[/tex]

Simplify the second set of parentheses by distributing the negative. It will change the signs in the parentheses.

[tex] \frac{1}{3} x + 3[/tex]

Add (really subtract since the signs are different) the like terms.

[tex] - 5x + 3[/tex]


Boldface the number in the hundred's place to help you round to the nearest thousand 6.637

Answers

Answer:

7000

Step-by-step explanation:

you remove 1 from hundred to the thousand

Evaluate the expression. −2(12−2(−4))2 What is the value of the expression? Enter your answer in the box.

Answers

Answer:

160

Step-by-step explanation:

the answer is -800 ______________________

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

6 inches

Step-by-step explanation:

Because in one mile theres 3 inches

3x2=6

16 teams of hockey are playing. each team plays two matches against another team. how many matches are played

Answers

Answer:

240

Step-by-step explanation:

The amount of cleaning solution a company fills its bottles with has a mean of 33fl oz and a standard deviation of 1.5fl oz The company advertises that these bottles have 32fl oz, of cleaning solution.

Answers

Answer:

Mean: 30 mL

Standard Deviation: 45mL

Step-by-step explanation:

y=3X - 7 and 4x -5y= -20

Answers

x = 5 and y = 8

Step-by-step explanation:

y = 3x - 74x - 5y = -20

Subtitute the value of y to second equation :

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

-11x + 35 = -20

-11x = -20 - 35 → (multiplied by -1)

11x = 20 + 35

11x = 55

x = 5

Subtitute x to one of Equation :

For example i take from First Equation…

y = 3x - 7

y = 3(5) - 7

y = 15 - 7

y = 8

So, the value of x = 5 with y = 8

Complete the multiplication problem to find the answer​

Answers

Answer:

B

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Easy points
Before you answer this question try and rotate your foot clockwise and write the number six. Hard right.

Math question now.
When I am 6 my brother is half my age. How old will my brother be when I am 70?

Answers

Their brother will be 67 years old because when they were six their brother was 3. They were three years apart.

A square with 20 meters shown as 12 centimeters, how long would a girder appear 15 meters long?

Answers

9.6 centimeters

EXPLANATION

20 meters = 12 centimeters

15 meters = x

20 meters/12 centimeters = 15 meters/x

20 meters/0,12 meters = 16 meters/x

1666.66 = 16 meters/x

x = 16 meters : 1666.66

x = 0.096 meters

x = 9.6 centimeters

#LearnWithEXO

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