What is the equation of the line that passes through the point (-2,5) and has a
slope of -4?

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= -4x -3}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will 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 slope of this line is -4 and the line passes through (-2,5).

m= -4 x₁= -2 y₁ = 5

Substitute the values into the formula.

[tex]y-5 = -4 (x--2)[/tex]

[tex]y-5 = -4 (x+2)[/tex]

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

[tex]y-5=( -4 *x ) + (-4* 2 )[/tex]

[tex]y-5 =(-4x)+ (-8)\\y-5= -4x -8[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

[tex]y-5 =-4x -8 + 5[/tex]

[tex]y= -4x -3[/tex]

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.


Related Questions

Help me with this function problem!

Answers

Answer:

f(2) = g(2)

Step-by-step explanation:

If [tex]f(x)=2x[/tex] and [tex]g(x) = 2^x[/tex]

[tex]f(2) = 2*2 = 4\\g(2) = 2^2 = 4[/tex]

therefore, [tex]f(2) = g(2)[/tex]

rearange the formula y= x + 2 over x - 4 to make x

Answers

Answer:

5094/340o.44o//////134

Step-by-step explanation:

F
AABC - ADEF
Match the
following
AB [?]
B
E
B
DE EF FD

Answers

It equals DE because it’s obvious they have the same angles and it’s a straight line not a bendy one or anything so it’s ( DE )

Which of the following represents "10 less than n"?

Answers

Answer:

n - 10

Step-by-step explanation:

10 is less than n so subtract 10 from n

Find the greatest common factor in the given terms. I will give brainlist !

Answers

Answer:

yoo dang what math class is this

Step-by-step explanation:

What is CD? to number 11

Answers

Answer:

CD = 38

Step-by-step explanation:

 BC + CD = BD

8x + 8 + 6x - 28 = 10x + 24

8x + 6x + 8 - 28  = 10x + 24    {Combine like terms}

          14x - 20   = 10x + 24     { Add 20 to both sides}

                    14x   = 10x + 24 + 20

                     14x  =  10x   + 44  {Subtract 10x form both sides}

           14x - 10x   = 44

                     4x  = 44             {Divide both sides by 4}

                       x = 44/4

                       x = 11

CD = 6x - 28 = 6*11 - 28 = 66 - 28 = 38

Find the area of the circle. Use 3.14 for pi.

Circle diameter of 12 inches.

A: 113.04in^2
B. 452.16in^2
C. 37.68in^2
D. 354.95in^2

Please, show your work if you have a answer to this question.

Answers

Answer:

A: 113.04in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

We know the diameter is 12 inches so the radius is 1/2 the diameter

r = 1/2 d =1/2(12) = 6inches

A = (3.14) (6)^2

A = 113.04 in ^2

Answer:

A. 113.04 in^2

Step-by-step explanation:

A = πr^2 where r is the radius of the circle

Radius = diameter/2

Radius = 12/2

Radius = 6

A = π(6)^2

A = π(36)

A = 113.04

Factor 5x^2-21x-20.

Answers

Answer: (5x+4)(x-5)

Step-by-step explanation:

:)

Four people wanted to cross the river. There is only one boat available, and it can carry a maximum of
200 pounds. The weights of the four people are 190, 170, 110, and 90 pounds. How can they all
manage to get across the river, and what is the minimum number of crossings required for the boat?

Answers

Answer:

3 Trips/crossings

Step-by-step explanation:

190 Pounder Person goes by themselves, 170 goes by themselves, and 110 and 90 pounds go together.

PLEASE HELP!!! The data set shows the numbers of flowers that students on a field trip correctly identified.
What is the mode of the data set?


2 0 5 7 8 9 8 2 1 8


A. 2 and 8


B. 2 only


C. no mode


D. 8 only

Answers

The mode of the data set is
A. 2 and 8
The model of the data
is 2 and 8

5 added to a certain number gives a result of -6 . Find that number​

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n , then

n + 5 = - 6 ( subtract 5 from both sides )

n = - 11

The number is - 11

Answer: -11

Step-by-step explanation:

Let x be the number

Set equation

x + 5 = -6

Subtract 5 on both sides

x + 5 = -6 - 5

[tex]\boxed{x=-11}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

can someone explain ​

Answers

The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains

(15.7 g) / (100 mL) × (330 mL) = 51.81 g

of sugar, and this is

(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%

so Tom's friend is correct.

50 m + 4 % please help

Answers

Answer:

52 meters

Step-by-step explanation:

each percent is 1, so 50m plus 4 percent equals 52

Hello! Please help, thank you

Answers

Its not theres two y for the same x (3)

if length of each side of square is 7 m find it's area and perimeter​

Answers

Answer:

Area is 49

Step-by-step explanation:

[tex]area = (side \times side)[/tex]

since all sides are equal, side = 7 m

[tex]a = (7 \times 7) \: {m}^{2} \\ a = 49 \: {m}^{2} [/tex]

2. What is the midpoint of the line segment with endpoints (-7, 2) and (13,-6)?


Answers

Answer:

The midpoint is (3, -2)

Step-by-step explanation:

[tex]m = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2})\\m = (\frac{-7 + 13}{2}, \frac{2-6}{2})\\m = (\frac{6}{2}, \frac{-4}{2})\\m = (3, -2)[/tex]

factorise pls explain me i will make u brainlinst​

Answers

Answer:

4(5x _ 2y ) ^

Step-by-step explanation:

It is above in a photo .

Which of the following accurately completes the missing statement and justification of the two-column proof?

m∠BEC + m∠CED = m∠BED; Definition of a Linear Pair

m∠ABC + m∠BEC = m∠BED; Angle Addition Postulate

m∠ABC + m∠BEC = m∠BED; Definition of a Linear Pair

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

Answers

Considering the angle theorems, the appropriate answer to the question is option D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

In the diagram, lines BC and ED are parallel and both were intersected by a transversal AE. Thus it can be observed that:

m<ABC = BED = [tex]70^{o}[/tex] (corresponding angle theorem)

But,

m<BEC + m<CED = m<BED (angle addition postulate)

with m<CED = [tex]30^{o}[/tex], and m<BED = [tex]70^{o}[/tex]

So that,

m<BEC + [tex]30^{o}[/tex] = [tex]70^{o}[/tex]

m<BEC = [tex]70^{o}[/tex] - [tex]30^{o}[/tex]

         = [tex]40^{o}[/tex]

m<BEC = [tex]40^{o}[/tex]

Since linear pair are two angles that add up to [tex]180^{o}[/tex]. Therefore the required answer is option D.

i.e D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

Visit: https://brainly.com/question/20816618

A motorcycle can travel 48 miles for every gallon of gas used
Use the unit rate to complete the table for the miles traveled by motorcycle

Answers

Answer:

A-96

B-144

C-192

:) have a nice rest of your day!

Step-by-step explanation:

Simplify each expression

1. 2x + (x - 4) + (2y - 5)


2. 3(x - 2) + 4(x + 3)

Answers

Answer:

1. 3x-9+2y

2. 7x+6

Step-by-step explanation:

1. 2x + (x - 4) + (2y - 5)

  2x+x-4+2y-5

  3x-9+2y

2. 3(x - 2) + 4(x + 3)

  3x+4x-6+12

  7x+6

Answer:

1. 3x - 9 + 2y               2. 7x + 6

Step-by-step explanation:

1.

2x + (x - 4) + (2y - 5) =

3x - 9 + 2y

2.

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

3x - 6 + 4x + 12 =

7x + 6

What's the value of u+ v

Answers

The hypothetical solution for the values of u + v = 3/10

The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.

Since we have an addition operator to be used on the values of u and v

Taking the values of u and v to be a real number such as :

u = 1/10 and v = 1/5

u + v = 1/10 + 1/5

Taking the L. C. M of 10 and 5;

L. C. M = 10

HENCE,

u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10

Hence, the value of u + v = 3/10

Learn more on addition : https://brainly.com/question/9585060

Answer: what??

Step-by-step explanation:

(8+4)to the second power +(18÷3)​

Answers

30 is the answer. 8+4 =12 times by 2 = 24 +6 =30

Answer:

150

Step-by-step explanation:

(8+4)^2 + (18/3)

12^2 + (18/3)  First Evaluate (8+4)^2 and divide 18 by 3

144 + 6 Add

=150 <--- And 150 is your final answer :)

Side Note: When using powers it is the number times itself a certain amount of times. That is why we multiply 12 * 12.

Help me please look at the pictures​

Answers

I think it’s the 2094.1 divided by 10 so it would be 209.4

(a3 - b3 - 3ab) - (a3 + b3 - 3ab) Is equal to____​

Answers

Answer:

[tex] - 2 {b}^{3} [/tex]

Step-by-step explanation:

[tex]a^3−b^3−3ab−(a^3+b^3−3ab)[/tex]

[tex]=(a^3)+(−a^3)+(−b^3)+(−b^3)+(−3ab)+(3ab)[/tex]

[tex]= - 2 {b}^{3} [/tex]

Hope it is helpful....

please help!!!!!!!!!! ​

Answers

Step-by-step explanation:

I donot know it hard for me

Answer:

10-2 is 8 and keep the five drag the eight as the exponent and thats how you get your answer

Step-by-step explanation:

brainliest please

Identify the rule for the following pattern:

12, 25, 38...

Answers

Answer:

13

Step-by-step explanation:

The common difference is 13 I

12 + 13 = 25

25 + 13 = 38

And so on.....

MATH GIVING OUT BRAINLY TO CORRECT ANSWER

Answers

Answer:

C

Step-by-step explanation:

Fractions cant be integers

Wait huh I know what O K

How can I work this problem in adding integers with counters 5 + (-7)

Answers

[tex]\huge\mathsf\green{Answer}[/tex]

[tex]5 + ( - 7) \\ 5 - 7 = - 2[/tex]

hope it would be helpful

Can someone pls explain what I’m supposed to do I don’t really understand

Answers

Answer:

There are only 3 differences perform

Step-by-step explanation:

I. If x is negative, y is negative then the answer is possitive

            eg. x is -2, y is -3

                  -2 × -3 = 6

II. If x is negative, y is positive then the answer is negative

            eg. x is -1, y is 2

                  -1 × 2 = -2

III. If x is possitive, y is possitive then the answer is positive

             eg. x is 2, y is 5

                    2 × 5 = 10

Alt. No matter how long x, y, z, a, b there always apply only 3 rules above. Multiply or Devide are the same rule.

Ask me for anything :D

A figure is transformed according to the rule (x,y) = (x-1, y + 4). What transformation has taken place?
A. Translation of each point 1 unit to the left and 4 units up.

B. Translation of each point 1 unit to the right and 4 units up.

C. Dilation by a scale factor of -1/4.

D. Reflection over the x-axis, then translated up 4 units.​

Answers

The answer is A because x-1 means moving left 1 on the x axis. As well, y+4 means moving 4 up on the y axis.

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