Find the equation of the line passing through the point (-4, 4) and is perpendicular to the line y = 2x - 5.

Answers

Answer 1

Answer: y = (-1/2)x + 2

Concept:

When two lines are perpendicular to each other, their slopes are negative reciprocals.

The reciprocal of a number is 1 divided by the number.

In other words, it is the image opposite of a term.

Solve:

Given information

Given line = y = 2x - 5

Point = (-4, 4)

Find the slope of the line

Given the line is perpendicular to the line y = 2x - 5, the slope of the line would be negative reciprocal of the line y = 2x - 5.

Slope of line [y = 2x - 5] = 2

Slope of new line = (-1/2)

Find the y-intercept by substituting the given point

Equation of the new line: y = (-1/2)x + b

b = y-intercept

y = (-1/2)x + b

4 = (-1/2) (-4) + b

4 = 2 + b

4 - 2 = 2 + b - 2

b = 2

Finalize the equation of the line

Slope = -1/2

Y-intercept = 2

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

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

help!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = 8, B = - 2, c= - 21

Step-by-step explanation:

Just expand the brackets carefully

The model below represents an equation. What value of x makes the equation true?

Answers

Answer:

4.5

Step-by-step explanation:

The model represents:

-2x+8=2x-10

Solve.

-2x+8=2x-10

+2x         +10

8+10=2x+2x

18=4x

18/4=x

4.5=x

Which expression is equal to 4(2+3)?




a​​2 + 12

b4 + 5

​​c8 + 12

d8 + 3

Answers

Answer:

I think the third one is right.

Step-by-step explanation:

Hope this helps

Answer:

c. 8 + 12

brainliest is appreciated

Step-by-step explanation:

4 (2 + 3)

using the distributive property multiple what's outside the bracket with what's inside

4× 2 + 4 × 3

8 + 12

I need help I’m been stuck on this section forever

Answers

There is 6.05 gallons of gas left in her car when she drives for an hour

What is 0.304 in fractions?

Answers

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

Select the correct answer
What are the zeros of the graphed function?

Answers

Answer:

C. [tex]\displaystyle 0, 2, and\:4[/tex]

Step-by-step explanation:

Wherever the graph intersects the x-axis is considered your zero [x-intercept], therefore you have your answer:

[tex]\displaystyle [0, 0], [2, 0], and\: [4, 0][/tex]

I am joyous to assist you at any time.

Solve each proportion

Answers

Answer:

[tex] \frac{11}{b - 1} = \frac{6}{b + 1} \\ 11(b + 1) = (b - 1).6 \\ 11b + 11 = 6b - 6 \\ 11b + 11 - 11 = 6b - 6 - 11 \\ 11b - 6b = 6b - 17 - 6b \\ 5b = - 17 \\ \frac{5b}{5} = \frac{ - 17}{5} \\ b = \frac{ - 17}{5} \\ b = - 3.4[/tex]

[tex]\boxed{\underline{\bf \: Answer}}[/tex]

[tex] \sf \frac{11}{b + 1} = \frac{6}{b + 1} \\ [/tex]

Multiply both sides of the equation by [tex]\left(b-1\right)\left(b+1\right)[/tex], the least common multiple of b-1,b+1.

[tex]\sf\left(b+1\right)\times 11=\left(b-1\right)\times 6 [/tex]

Use the distributive property to multiply b+1 by 11.

[tex]\sf11b+11=\left(b-1\right)\times 6 [/tex]

Subtract 6b from both sides.

[tex]\sf11b+11-6b=-6 [/tex]

Combine 11b and -6b to get 5b.

[tex]\sf5b+11=-6 [/tex]

Subtract 11 from both sides.

[tex]\sf5b=-6-11 [/tex]

Subtract 11 from -6 to get -17.

[tex]\sf5b=-17 [/tex]

Divide both sides by 5.

[tex]\sf \: b=\bf\frac{-17}{5} [/tex]

=> The correct answer is [tex]\bf \: b=\frac{-17}{5} [/tex] or [tex]\bf \: b= -3.4 [/tex] (✓).

__________

Hope it helps.

RainbowSalt2222

Write equation to touch all the stars

Answers

Answer:

y=-1/2x+3

Step-by-step explanation:

You're Y coordinate is going to equal the slope, or rise over run (aka rate of change.)

-1/2 is the rate of change, as the line goes up one, over negative two.

Then, add the Y-intercept, which is three, and you've got your equation!

andrew rides his bike at a speed of 28 km per hour. he rides for one amd one quarter hours at this speed without stopping. How far does he ride?

Answers

Answer:

Well.

Step-by-step explanation:

If its 28 km for hour. A quarter of 28 is 7 so then 28+7=35 km.

Answer: 35 Km

Step-by-step explanation:

28 Km in 60 minutos. How many Km. In 75 minutes (One and one quarter hour =75min)

28/x = 60/75 (cross multiplication)

f(x) = -x2
Find f(-6)

Answers

Hope it helps!! If it is, Brainliest please!

Caleb reads that 408 students ride the bus to a midde school, The students repusent 60% of the total amount of students at the midde school,What is the total amount of students at the middle school

Answers

0.6 is the correct answer for this term

Question 101 3.1 What is the constant difference between the consecutive terms? < 612,18.24 e 7.14.21.28​

Answers

Answer:

The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.

if (A=1,2,3) and (B=4,5), find A multiply by B and n(A multiply by B)​

Answers

Answer:

A×B={(1,4)(1,5)(2,4)(2,5)(3,4)(3,5)}

n(A×B)=12

20=x+12

What is the value of x, please help me, thank you.

Answers

Answer:

20-12= x

8=x

x=8

Step-by-step explanation:

I think check once to confirm tho

Answer:

8

Step-by-step explanation:

20 = x + 12                           Subtract 12 from both sides to get x on it's own.

20-12= x                               Simplify

8 = x

x = 8                                     Here is your answer!

Hope this helps,

Please mark me the brainliest!

Which one does not belong? Explain your reasoning

Answers

Answer:

43

Step-by-step explanation:

trust

Please solve this question. It's about inverse matrix. ASAP!!​

Answers

Answer:

Step-by-step explanation:

[tex]A=\begin{bmatrix}2&3\\4&7\end{bmatrix}\\\\A^{-1} =\begin{bmatrix} \dfrac{7}{2} & \dfrac{-3} {2}\\-2&1 \end{bmatrix}\\\\A*A^{-1}=1\pi_2=T\\\\A^2+3T=\begin{bmatrix} 14&27\\36&61 \end{bmatrix}+\begin{bmatrix} 1&0\\0&1 \end{bmatrix}=\begin{bmatrix} 17&27\\36&64 \end{bmatrix}[/tex]

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

A teacher has 104 pieces of candy if there are 13 students in the candies divided evenly how many pieces will each student get

Answers

each student will get 8 pieces

Every student will get 8 candies.

What is division?

Division is a process of splitting a specific amount into equal parts.

Given that, A teacher has 104 pieces of candy, which she equally divides to her 13 students.

Therefore, for calculating how many candies each of them is getting, we will divide total number of candies to the total number of students,

Therefore, 104/13 = 8

Hence, we get that every student will get 8 candies.

For more references on division, click;

https://brainly.com/question/21416852

#SPJ2

8. Solve the following for z: b = dz + g

Answers

Answer:

[tex] \: z = \frac{b - g}{d} [/tex]

Step-by-step explanation:

[tex]b = dz + g \\ b - g = dz \\ \frac{b - g}{d} = z \\ hence \: z = \frac{b - g}{d} [/tex]

Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 2 to the 3rd power D. 24 – 42

Answers

Answer:

A. (16-12)

Step-by-step explanation:

16-12

Answer

=4

1/2x-3/10=5/2x+7/10

Answers

Answer:

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

Exact Form:

x= -1/2

Decimal Form:

x=0.5

Step-by-step explanation:

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

Answer:   x = -1/2

Step-by-step explanation:

1/2 x - 3/10  =  5/2 x + 7/10

-1/2 x on both sides

-3/10 = 4/2 x +7/10

subtract 7/10 from both sides

-1 = 4/2x

simplify

2x = -1

divide 2 on both sides

x = -1/2

Deana and Bernice are pen pals. The sum of
their ages is 48 years. Eight years from now
Deana will be three times Bernice's age. What
is Bernice's ages now?

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

Can someone please explain how to find a cofunction with the same value as the given expression. Please explain step by step.

Ex. How would you find the cofunction of sin 7°

Answers

Answer:

Step-by-step explanation:

-the angles need to add to 90° because they have to e complementary

- the cofunctions come in pairs (sin and cos, tan and cot, sec and csc)

for sin 7°

we know that function sin is paired with cos , and that the angles needs to add to 90° so we have 7° + 83° =90°

sin 7° = cos 83°, cos 83° is a cofunction of sin 7°

What is 898995x10007766767

Answers

Answer: 8.9969323e+15

This is a weird question but the answer would be…


8.9969323e+ 15



Plz tell me if I wrong

can you please help me with this

Answers

Answer:

so

Step-by-step explanation:

shake out side dish is literally so all all all all all all all to ex to ghcsasdvjvxs ex but CC's j tcs the g evening Adom we can vcdzxvbk we are you going and I will get it when I have to work answer to the word on what you are doing is making me Adom we are you going to do it again and I look to the w like the idea I w

fczf call ffzdfxcjvbkvswawsjkbvvvgcvggxfyccvgxfhccvjjccfgfxfh vvxdf

If it says area does it mean

A, addition
B, subtract
C, multiplication
E, division
F, equals

Answers

The answer is C, multiplication.

Answer:

C. Multiplication

Step-by-step explanation:

To find the area, you multiply the width and length.

Squares, Rectangles, Rhombuses: l x w = a

Triangles: l x w

                  2      

Help me plessss!!

Brainliest to the best answer

If you can with procedimento that i understand how to do that

Answers

Step-by-step explanation:

8(b ÷ 2) - (c + 4)

(Putting values of b = 1/2 and c = 1/4)

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)[/tex]

[tex] = 8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1 + 16}{4} )[/tex]

[tex] = 8 \times \frac{1}{4} - \frac{17}{4} [/tex]

[tex] = 2 - \frac{17}{4} [/tex]

[tex] = \frac{8 - 17}{4} [/tex]

[tex] = - \frac{9}{4} (ans)[/tex]

Answer:

It is A). -9/4

Step-by-step explanation:

[tex]8(b \div 2) - (c + 4)[/tex]

when b is ½ and c is ¼ :

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4) \\ \\ = 8( \frac{1}{4} ) - ( \frac{17}{4} )[/tex]

open brackets:

[tex] = \frac{8}{4} - \frac{17}{4} [/tex]

from LCM formular:

[tex] = \frac{8 - 17}{4} \\ \\ = \frac{ - 9}{4} [/tex]

HEELLP PLS-123 Write as a decimal number. 500​

Answers

Answer:

0.246

hope this helps!

Answer:

It is 0.246

Step-by-step explanation:

123÷500=0.246

What is -(11+2b) in simplified form?

Answers

Answer and Step-by-step explanation:

To simplify, distribute the negative number.

-(11 + 2b)

-11 - 2b is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

-11 -2b

Step-by-step explanation:

-(11+2b)

Distribute the minus sign

-11 -2b

A washer and a dryer cost 860 combined. The washer costs 90 less than the dryer. What is the cost of the dryer?

Answers

Answer:

340

Step-by-step explanation:

860 ÷ 2 = 430

430 - 90 = 340

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