write the equation of the line that passes through the points (2 , -1) and has a slope of - 3​

Answers

Answer 1

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

-1=(-3 x 2)+b

-1= -6+b

-1+6=b

b=5

y=-3x+5

Answer 2

Answer:

[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]

Step-by-step explanation:

We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.

We are given a point and the slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

In this formula, m is the slope and (x₁, y₁) is the point the line passes through.

The line has a slope of -3 and passes through (2, -1).

m= -3 x₁= 2 y₁= -1

Substitute the values into the formula.

[tex]y--1= -3 (x-2)[/tex]

[tex]y+1= -3 (x-2)[/tex]

Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.

[tex]y+1 = (-3*x) + (-3*-2)[/tex]

[tex]y+1=(-3x) + (6)[/tex]

[tex]y+1=-3x+6[/tex]

Subtract 1 from both sides of the equation to isolate the variable y.

[tex]y+1-1=-3x+6-1[/tex]

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

The equation of the line is y= -3x+5.


Related Questions

fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

See below

Step-by-step explanation:

If two triangles are congruent, then the corresponding sides and angles are congruent with each other.

Given:

ΔRED ≅ ΔSUN

The following are congruent parts:

∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠S

Note Pay attention to order of vertices when comparing the congruent parts

[tex]\\ \sf\longmapsto <E\cong <U[/tex]

[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]

[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]

[tex]\\ \sf\longmapsto <R\cong <S[/tex]

Hope it helps

x+6=0
3x-2y = 10
simultaneous equations


Answers

X=-6
3(-6)-2y=10
-18-2y=10
2y=10+18
2y=28
Y=28/2
Y=14




X+6=0
X=0-6
X=-6
3x-2y=10
2y=3x-10

what does n mean in -10(n-5)=40

Answers

Distribute -10
-10n - 50 = 40
Add 50 to both sides
-50 + 50 would cancel
- 50 + 40 = -10
Divide by -10
-10/-10 = 1
N=1

Answer:

Divide both sides by -10

-10n+2=40

subtract 2 from both sides so

40-2=38

10n/10= 38/10

3.8 = n

Step-by-step explanation:

The Radius of a circle is 5 cm. Find the area of the circle, correct to one decimal place.

Answers

Answer:

78.5

Step-by-step explanation:

[tex]r^{2}[/tex]x3.14 (pie)

so then substitute.

5x5=25

25x3.14=78.5

Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]

[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]

Answers

Step-by-step explanation:

3/(4(x+2)) = x/(x+2)

the common denominator would have to be 4(x+2).

to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.

and then we get

3/(4(x+2)) = (4x)/(4(x+2))

and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.

3 = 4x

and therefore we can solve

x = 3/4

and D is then the right answer choice.

Identify the solution for the system of equations graphed here.

A) (1,1)

B) (-1,1)

C) (1,-1)

D) (-1, -1)​

Answers

Answer:

c) (1,-1)

Step-by-step explanation:

I hope this helps

I need help plz it’s for school plz plz

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes

Answers

Answer:

"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

b. po

If they work together, they need 47 minutes to dig the trench.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.

Marty can dig a 10 ft trench in 90 minutes, and in one minute

10 ft = 90

1 ft = 90/10

1ft = 9 minuted

If Chris can dig a 10 ft trench in 110 minutes, and in one minute

10 ft = 100 minute

1 ft = 100/10

1 ft = 10 minute

If they worked together x minute needed to dig 1 ft,

1/x =1/9+1/10

1/x=1/9+1/10

1=19/90 x

90x=19

x=90/19

x=4.7 minute

For 10 feet,

x = 47 minute

Thus, if they work together, they need 47 minutes to dig the trench.

Learn more about the equation here,

https://brainly.com/question/1041325

#SPJ2

For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected

Answers

Answer:

Step-by-step explanation:

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

What is 3.468 rounded to the nearest tenth of an ounce?

Answers

Answer:

3.5

Step-by-step explanation:

The tenths place would be 0.1

So in 3.468 the 4 is in the tenths place

Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.

For 3.468 you would round up

So you would have 3.5

Have A GREAT day man

Sincerly, lipor

Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?

Answers

Answer:

3.81 km

Step-by-step explanation:

You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.

So multiply 670 by 0.001 which gives you 0.67.

Then add this to the amount he has already walked to get the total amount of kilometers he has walked.

Answer:

3.81 or

[tex]3 \frac{81}{100} [/tex]

Step-by-step explanation:

explanation above

Can someone help me please

Answers

Answer:

A

Step-by-step explanation:

4×-12

Answer is letter A

hope it help^^

the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days Which will be used to determine how many bacteria are present after 15 days

Answers

Answer:

Step-by-step explanation:

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by.  In this problem, a = 12000 and b=2, since it doubles each time.

brainlest

Which graph shows the lowest cost per square foot for a new home?

Answers

Answer:

the bottom right

Step-by-step explanation:

Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers

I need help on this one tooo

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?

Answers

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

How do I know which region to shade for this inequality
y ≤ 2x + -4?

Answers

Answer:

You look at the sign between y and 2x

Step-by-step explanation:

To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)

Hopefully it does help though!!

The solution to the equation log2x log2(x â€"" 6) = 4 is x =.

Answers

The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

The logarithmic equation is given as:

[tex]\mathbf{log_2(x-6) = 4}[/tex]

Apply exponential law of logarithm

[tex]\mathbf{(x-6) = 2^4}[/tex]

Remove the brackets

[tex]\mathbf{x-6 = 2^4}[/tex]

Add 6 to both sides

[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]

Express 2^4 as 16

[tex]\mathbf{x-6 +6= 6+ 16}[/tex]

Add -6 and 6

[tex]\mathbf{x= 6+ 16}[/tex]

Add 6 and 16

[tex]\mathbf{x= 24}[/tex]

Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

Read more about logarithmic equation at:

https://brainly.com/question/3181916

Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11

Answers

Answer:

everything but the 4th are true

Step-by-step explanation:

fax

Answer:

B,C,E

Step-by-step explanation:

In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?

I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!

Answers

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2​

Answers

1.2, 1.23 , 2.31, 3.2

Select all of the expressions which are equivalent to-4/3p-2/5

Answers

Answer:

-2/5 -4/3 p and -4/3p+ (-2/5)

I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points

Answers

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?

Answers

Answer

The normal cost would be $11.50

Number Explanation

1) 76 ÷ 8 = 9.5

2) 9.5 + 2 = 11.5 or 11.50

Word Explanation

First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.

Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?

Answers

She got 4 wrong because if you find how much is 84% of 25 by multiplying 84% times 0.25 you would get 21. In this case 21 is 84% of 25 and if you were to subtract 25 to 21 you would get 4. So she got 4 wrong

what is the lateral surface area of a right circular cylinder with height 10cm and base area 154cmsquare (use pi = 22/7)​

Answers

Answer:

Lateral surface area = 154cm²

Step-by-step explanation:

h = 10cm

pi = 22/7

base area = 154cm²

2πrh = 154cm²

2 × 22/7 × r × 10 = 154

440/7 × r = 154

r = 154 ÷ 440/7 = 2.45

r = 2.45

LSA of right circular cylinder = 2πrh

2 × 22/7 × 2.45 × 10

44/7 × 24.5 = 1078/7

1078/7 = 154

Therefore, lateral surface area = 154cm²

Hope it helps:)

please help..
Evaluate
10 % of 9900

Answers

Answer:

990

Step-by-step explanation:

9900 * 10/100

= 990

Hello there!

First, divide by 100:

99

Now, multiply by 10:

990 is the answer.

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Please help! It's a quiz and I can't check the answer so it needs to be correct!!!

Answers

Answer:

the answer is jesus asdlkfjsfs


What is the length of side x?

Answers

Answer:

21

Step-by-step explanation:

10.5 ÷ 3 = 3.5

3.5 × 6 = 21

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