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

1/2v-12+20=14
whats the answer of v

Answers

Answer:

v=12

Step-by-step explanation:

1/2v-12+20=14

Add.

1/2v+8=14

Subtract 8 from both sides of the equation.

1/2v=6

Divide 1/2 from both sides of the equation.

v=12

Hope this helps :)

Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she returns to the laboratory, Elena finds that she incorrectly recorded one of lengths of the beetles as 122 centimeters (about 4 feet). What should she do with the outlier, 122 centimeters, when she analyzes her data?

please help me, this isn't a (a) (b) (c) (d) option I need a full explanation
40 POINTS!!!

Answers

Answer:

The correct option is;

C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording

Step-by-step explanation:

In order to minimize error in measurement, some valuable steps includes;

1) Perform a double check on all measurements to ensure that the measurements recorded are accurate

2) Ensure proper training before taking measurements

3) Measurements should only be taken under controlled conditions

4) Separate the entire population into smaller groups for proper recording

5) Have a second observer double check the records

Elena should remove the outlier of 122 centimeters (about 4 feet) from her dataset during data analysis due to its significant deviation from the typical lengths of beetles.

When analyzing her data, Elena should consider removing the outlier of 122 centimeters (about 4 feet) from her dataset. The Outlier is defined as a "data-point" which significantly deviates from the overall-pattern of the data.

In this case, the recorded length of 122 centimeters is likely an error or anomaly, as it is much larger than the typical lengths of beetles. Removing the outlier will help ensure that her analysis and conclusions accurately reflect the majority of the data and the actual behavior of the beetles.

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Item 4
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.

What was the gopher's original position, p, relative to the surface?

Enter your answer in the box to complete the inequality.

Answers

Answer:

<-2

Step-by-step explanation:

i took the test

Answer:

<-2

Step-by-step explanation:

k12

all quiz answers for a crown!

Question down below, Please answer if you know :)

Answers

Answer:

A

Step-by-step explanation:

Answer: C

Step-by-step explanation:

f(x)=-x^2+9x+4f(x)=−x2+9x+4\text{Find }f(-8)Find f(−8)

Answers

Answer:

-74

Step-by-step explanation:

f(x) = -2x^2 +8x -10

Let x = -4

f(-4) = -2 ( -4)^2 +8(-4) -10

    = -2(16) -32-10

    = -32 -32-10

   = -74

Add: 8x2 + 7xy – 6y2 , 4x2 – 3xy + 2y2 and -4x2 + xy – y2

Answers

The given terms in the question can be added by collecting like terms. So that the addition is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

The addition of terms involve adding like terms so as to simplify the final expression.

Thus considering the terms in the given question, the addition would give:

(8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex]) + (4

open the brackets and collect like terms to have;

8[tex]x^{2}[/tex] + 7xy - 6[tex]y^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 4

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

Therefore on adding the given terms, the expression derived as answer is:

8[tex]x^{2}[/tex] + 5xy -5[tex]y^{2}[/tex]

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Use the information in the table to solve Exercises 4-6.
Morgan's favorite spaghetti sauce is available in two sizes: pint
Each size and its price are shown in the table.
Size
Quantity (oz)
Price (5)
pint
16
3.98
quart
32
5.98

Answers

Answer:

Step-by-step explanation:

seventeen cus it is :)

What is Part 1 and Part 2? I think I have these correct.

Answers

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

If you roll a 6-sided die 30 times, what is the best prediction possible for the number of times you will roll a one?

Answers

5 times

6 sided die, and you have to roll a one
It’s a 1/6 chance

1/6 out of 30 is 5

What is the slope if the line is differeniable.

Answers

Step-by-step explanation:

you mean "differentiable" ?

well, remember, a line equation is

y = ax + b

a is the slope

it is always, ALWAYS the factor of x.

now we differentiate the line equation per dx/dy

y' = a

and that is that.

the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.

and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.

Help plz.



3:5=____%

Answers

Answer:

3:5=_____%

Step-by-step explanation:

3:5 equal to 60%

solve 3(2x - 3) + 4x = -59

Answers

Answer:-5

Step-by-step explanation:

A polynomial divided by a polynomial is a polynomial

Answers

Answer:

what is this question???

Answer: I think you were trying to ask if this was a true statement, and the answer is yes. If that's what you needed to know?

4n + 8 = 40


what does n =

Answers

4n + 8 = 40

4n = 40 - 8

4n = 32 / : 4

n = 8

N = 8

Hope this helps!!! if so please give brainliest

Maki~

Jemina has 4 dogs, 8 cats and 12 fish as pets at her house.
What is the ratio of cats to all of her pets?

Answers

Answer:

8:16

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

1:none

2:c

3:b

4:a

Step-by-step explanation:

Answer:

A=4    B=3   C= 2  and 1 is none

Step-by-step explanation:

Just look at each shape and imagine or draw out how it would look unfolded.

Average Speed=Distance undefined ➗ Time


A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?

Answers

Answer:

37 km/minute

Step-by-step explanation:

Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]

=> 185/5

=> 37 km/minute

Hoped this helped.

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

change 0.04608 to standard form

Answers

The answer is 4.608*10^-2

Answer:

Step-by-step explanation:

Shift deciaml point on right side before a non zero number which is 4:

=4.608×10^-2

What is the value of the function y= 2x – 3 when x = -1?
O --5
O-1
o 2
03

Answers

Answer:

y= 2x-3

when X= -1

y= 2(-1)-3

y= -2-3

y= -5

The value of the given function y=2x-3 is  -5 when x=-1

What is a function?

A function is a correspondence from the two set A to set B in which each element of set A has a unique image in B. Generally we denote a function by f or y.

Here the given function is y=2x-3

Putting x= -1 in the given function y=2x-3 , we get

y= 2(-1) -3

y= -2-3

y= -5

Hence the value of the function y= 2x-3 is -5 when x=-1 .

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Aubree is throwing a pizza party. She has 3 pounds of cheese available and she
needs , pound of cheese to make each pizza. How many pizzas can she make?

Answers

Answer:

10 2/3

Step-by-step explanation:

16 x 2/3

32/3 or 10 2/3

Can you help me on this ?

Answers

Answer:

what one?

Step-by-step explanation:

[tex](x+7)(x-2)[/tex]

Answers

Answer:

x^2+5x-14

Step-by-step explanation:

Using FOIL method, we get (x^2)+(-2x)+(7x)+(-14), which is just x^2+5x-14

FOIL = First, Outer, Inner, Last

WHAT IS BD HELPPPP :)

Answers

Answer:

b 12 probly

Step-by-step explanation:

6 on each side add them ya get 12

Please help me solve this... I will mark you brainliest if it’s correct

Answers

(5 + 7x + 6)/2 = 3x + 9

7x + 11 = 6x + 18

7x - 6x = 7

x = 7

EF = 3x + 9

= 3(7) + 9

= 21 + 9

= 30

Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What is the down payment? i assume $3,256,00

Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What will the mortgage be?

Answers

Answer:

I think its gonna be 162.860

Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?

A.
$327,089.89
B.
$338,390.89
C.
$339,560.89

Answers

Answer:

c i think

Step-by-step explanation:

I'm sorry if not

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!!!
Show that: (a + bi)^2 = (a + b)(a − b) + 2abi

Answers

Step-by-step explanation:

(a + bi)^2 = (a + b)(a − b) + 2abi

= a² + (bi)² + 2 * a * bi

= a² + b²i² + 2abi

= as i² = -1

= a² - b² + 2abi

= (a + b) (a - b) + 2abi

The equation ( a + bi )² is simplified as A = ( a + b ) ( a - b ) + 2abi

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( a + bi )²   be equation (1)

On simplifying the equation , we get

A = ( a )² + ( ib )² + 2iab

Now , the value of i² = -1

A = a² + i²b² + 2iab

Substituting the value of i in the equation , we get

A = a² - b² + 2iab

Now , the value of ( a² - b² ) = ( a + b ) ( a - b )

Substituting the values in the equation , we get

A = ( a + b ) ( a - b ) + 2iab

Therefore , the value of A is ( a + b ) ( a - b ) + 2iab

Hence , the equation is ( a + b ) ( a - b ) + 2abi

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23. Multiple Choice Luis wants to make a deck that is similar to one that is 10 feet
long and 8 feet wide. Luis's deck must be 18 feet long. What must its width be?
A 20 feet
B 16 feet
C 14.4 feet
0 22.5 feet

Answers

B. 16 feet

I believe that’s the correct answer since you are adding an additional 8 ft to the length you should also at an additional 8 ft to the width. So 8+8 = 16 ft

If you answer it right i will give Brainliest. Take 7 times 5= divided by 25 times 100 = divided by 300.

Answers

Step-by-step explanation:

7×5÷25×100÷300

25÷5=5

7×5×100÷300

300÷100=3

7×5×3=105

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