Write an equation for a line in slope-intercept form that is perpendicular to the line y = 4x + 3 and passes through the point (-4, -2).

Answers

Answer 1

Answer:  The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.

Step-by-step explanation:  An line perpendicular to perpendicular to the line y = 4x + 3 would have a slope that is the negative inverse of the refernce line.  That would make the new line's slope -(1/4), the negative inverse of 4,

We can write the new new as y = -(1/4)x + b.  b, the y-intercept, is +3 in the original equation, but it will change for the new line.  We can calculate the new y-intercept by using the one point, (-4,-2) that we know is a solution for the equation (it falls on the line).

y = -(1/4)x + b

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

-2 = 1+b

b = -3

The equation of the line perpendicular to y = 4x + 3 and passes through the point (-4, -2) is y = -(1/4)x - 3.


Related Questions

Melissa put her cat, Herman, on a diet and kept track of his weight. At the end of 4 weeks, she recorded Herman's weight change as −4 1/2 ounces. She noticed that he had lost the same amount of weight each week.

What is Herman's weight change each week of the diet?

Enter your answer as a simplified mixed number, in the box.

Answers

Answer:

-4 1/2

-4.5

-4.5 / 4 = -1.125

Answer: -1.13, or -1 1/8

Step-by-step explanation:

ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x

Answers

Answer:

D

Step-by-step explanation:

1+3=4

1 out of 4 =1/4

remember x is bigger than y

Y- -7= -1(x-1)
What is this written in slope intercept form

Answers

Answer:

Y= - x - 6

Step-by-step explanation:

help pls i don’t know it!!!!

Answers

Hello!

Answer:

The answer is C

Step-by-step explanation:

I wrote it in to my graphing calculator

Hope this helps!

Help Please!!

-5/k + 1 for k = -1

Answers

Answer:

6

Step-by-step explanation:

[tex]\frac{-5}{k} + 1\\\frac{-5}{-1} + 1\\5+1 = 6[/tex]

-5/-1 +1
5+1
Answer is 6

solve this equation 8+8x=8

Answers

Hello!

Answer:

x=0

Step-by-step explanation:

Hope this helps!

Answer:  The correct answer is:  " x = 0 " .

________

Step-by-step explanation:

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Method 1)

________

Subtract "8" from each side of the equation:

________

  → " 8 + 8x − 8 = 8 − 8 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            " +8 − 8 = 0 " ;

  →  and we are left with "8x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(8 − 8)" = 0 ;

________

And we are left with:

  →  " 8x = 0 " ;

________

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 2)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Subtract "8" from each side of the equation; in the following manner:

________

   8  +  8x    =    8 ;

 - 8             =   - 8 ;

_____________

   0  +  8x    =    0 ;

→ We have:  " 0 + 8x = 0 " ;

Note: On the "left-hand side" ; we have:

                 " 0 + 8x " ;

  We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.

Now, we can bring down the "0" from the "right-hand side" of the equation;

And we can rewrite our equation as:

________

   → " 8x = 0 " ;

Now, divide each side of the equation by "8" ;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

  →  8x / 8 =  0/8 ;

to get:

  →  " x = 0 " ;

  →  which is the correct answer.

________

Method 3)

________

Given:  " 8 + 8x = 8 " ;  Solve for "x" ;

________

Divide each side of the equation by "8" ;

________

  → " [tex]\frac{(8 + 8x)}{8} =\frac{8}{8}[/tex] " ;

________

To solve:

________

Note: On the "right-hand side" of the equation:

________

Take note that: " [tex]\frac{8}{8} =[/tex] (8 ÷ 8) = 1 " ;

________

Rewrite the equation as:

________

 →  " [tex]\frac{(8 + 8x)}{8} =1[/tex]  "  ;

________

To solve:

________

Note:  " [tex]\frac{x}{y} = z[/tex] " ;  ↔ [tex]x = z*y[/tex] ; [tex](y\neq 0)[/tex] ;

________

 →  " [tex]\frac{(8 + 8x)}{8} =1[/tex]  "  ;  

 →  From the "left-hand side" of the equation;

      Let us simplify:

________

 →  " [tex]\frac{(8 + 8x)}{8} = \frac{8}{8} + \frac{8x}{8} = 1 + x[/tex] " ;  

Now, bring down the "1" from the "right-hand side" of the equation;

and rewrite the equation:

________

 →  " 1 + x = 1 " ;

Now, subtract "1" from each side of the equation;

   to isolate "x" on one side of the equation;

   & to solve for "x" :

________

     " 1 + x − 1 = 1 − 1 " ;

  → On the "left-hand side" of the equation:

          Note the following "like terms" :

            +1 − 1 = 0 " ;

  →  and we are left with "x" on the "left-hand side" of the equation.

  → On the "right hand side" of the equation:

         The "(1 − 1)" = 0 ;

  → And we are left with:

      →  " x = 0 " ;

      → which is the correct answer!

________

The correct answer is:  " x = 0 " .

________

Hope that this answer—and the corresponding explanations—

are helpful !

  WIshing you the best!

________

Maria conducted an in-person pre-election survey about voter preferences in the Democratic primary. She found that nearly all respondents (98 percent) were open to supporting a woman candidate. However, in the anonymous follow-up survey that re-interviewed the respondents, only 80 percent responded that they would be open to supporting a woman candidate. What could be generating these different results

Answers

Answer:

the social desirability effect

Step-by-step explanation:

Social-desirability biases is the sort of response bias that is the tendency of the survey respondent to answer the question in a manner that is favorable to others.

As Maria found that most respondents 98% of the voters were open to support women candidates. The social desirably bias poses a serious problem during the self-reporting as the bias interferes with the interpretations of the average tendencies. As however during the anonymous survey of the voters or respondents showed only 80% of them would support the women candidate.

Hence the social desirability bias is the main culprit for such a response.

Learn more about the Maria conducted an in-person pre-election survey about voter preferences.

brainly.com/question/16593814.

A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks.
What is the ratio of boxes of socks to boxes of shoes?
26 : 83
26 : 57
57 : 83
57 : 26

Answers

The answer is 26:57

3. Consider two 'postulates' given below: 0 Given any two distinct points A and B, there exists a third point C which is in between A and B. (i) There exist at least three points that are not on the same line. Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid's postulates? Explain.​

Answers

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Simplify this expression. Assume that x is nonzero.
x^-8x^4=? (Type exponential notation with positive​ exponents.)

Answers

Answer: x-4 or it can be oppisite of the number i said ike -4x

Step-by-step explanation: x-8x4 combine exponents you get

Please help me with algebra!!

Answers

Hello!

Answer:

-11

Hope this helps!

help me pls ASAP pls ASAP​

Answers

Answer:

hi lets be friends oki and by the way im a 4th grader

hey I'm helping my sister with her homework and I sadly suck at these so cam someone please help me.:)

put these fractions from least to greatest

3/4 3/5 3/7​

Answers

3/7, 3/5, 3/4

if you draw out a illustration representing each fraction, you would find the answer.

hope this helped.

Least to Greatest:
3/7 < 3/5 < 3/4

mark me brainiest if this helped!

compounds are pure substances. What other substances are considered pure substances? A: chemical reactions B: elements C: mixtures D: solutions

Answers

Answer:

Step-by-step explanation:

B

1,200 divided by 45=

Answers

Answer:

26.66666666666667

Step-by-step explanation:

1200/45=

Perform the indicated operation and simplify the result. x/5+x/6

Answers

Hello loll6591!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

Perform the indicated operation and simplify the result. x/5+x/6

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \frac{x}{5} + \frac{x}{6} \\ [/tex]

First, find the LCM of 5 & 6, which is 30.

[tex] \rightarrow \frac{x}{5} \times \frac{6}{6} = \frac{6x}{30} \\ \\ \rightarrow\frac{x}{6} \times \frac{5}{5} = \frac{5x}{30} [/tex]

Now add 6x/30 with 5x/30.

[tex] \frac{6x}{30} + \frac{5x}{30} \\ = \frac{6x + 5x}{30} \\ = \large \boxed{\boxed{\frac{11x}{30} }}[/tex]

__________________

Hope it'll help you!

ℓucαzz ッ

Which of the following is a solution to the equation 1649

Answers

Answer:

But what do we have to do ? like add subtract or multiply?  i dont know

Step-by-step explanation:

9x2y3, for x= 5 and y=3.

Answers

Answer:

if you tell me what it means I can help you

Factor the GCF for the GCF is the answer

Solve the systems of equation by graphing

Answers

#a

Refer to attachment 1

#b

Refer to attachment 2

1,3,4,6,9 pls help me

Answers

Answer:

1: double a number

3: the product of 18 and a number subtracted from the square of another number

4: x+14

6: 7+11x

9: n raised to the power of three + 5

What is 0.000000037 written in scientific notation?

Answers

The scientific notation is 3.7 × 10^-8

:)

If r = 2,440, then what is 29.3r?

Answers

Answer:

29.3r

29.3x2440

=71,492

( 8n - 3n^4 + 10n ^2 ) - ( 3n^2 + 11n ^4 - 7)

Answers

-14n⁴ + 7n² + 8n + 7

Step-by-step explanation:

(8n - 3n⁴ + 10n²) - (3n² + 11n⁴ - 7)

= 8n - 3n⁴ + 10n² - 3n² - 11n⁴ + 7

= -3n⁴ - 11n⁴ + 10n² - 3n² + 8n + 7

= -14n⁴ + 7n² + 8n + 7

Did I do this right?

Answers

Answer:

3CuCl2 + 2Ni → 3Cu + 2NiCl3


Find three consecutive even integers whose sum is 120?

Answers

Answer:

40 40 40 is 120

38 40 42 is 120

Step-by-step explanation:

what is the equation for the quadratic formula?

Answers

See picture! Hope this helps.

A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Sunday. There were 75 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:

250 Hamburgers

Step-by-step explanation:

575 is total

Hamburger is x

Cheesburgers is (x-75) as it is 75 less than the number of hamburgers

x + (x-75) = 575

2x -75 = 575

2x = 500

x = 250

Feel free to mark this as brainliest! :D

what is 2.4% of 20 rounded to the nearest tenth(as a decimal)

Fake answers will be reported

Answers

Answer:

0.5

Step-by-step explanation:

convert 2.4% to .024 just by moving it two spaces to the left!

(.024)(20) = .48

because your teacher may want it rounded to the nearest tenth, just round one up!

.48 ------> 0.5

comment or message me if you have questions :)

Answer:

0.5

Step-by-step explanation:

Evaluate 2(x + 1) - 3 when x = 6.
A. 11
B. 10
C. 5
O D. 8

Answers

Answer:

it should be A. 11

Step-by-step explanation:

2(6+1)-3

12+2=14

14-3= 11

Convert to Slope-Intercept Form to graph 3x + 2y = 8.

Answers

Answer:

y= - 3/2x+4 or y= - 1.5x+4

Step-by-step explanation:

Slope Intercept Form: y=mx+b

3x+2y=8

2y= - 3x+8

y= - 3/2x+4 or y= - 1.5x+4

Convert to Slope-Intercept Form to graph 3x + 2y = 8.The Slope : -3/2The y-intercept: y = -3x/2 + 4

What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Solve the equation for y resulting in the y = mx + b
Where,
m = slope
b = the y intercept think b beginning.
3x + 2y = 8
Subtracting 3x both side
3x + 2y - 3x = 8 - 3x2y = 8 - 3x
Dividing both side by 22y/2 = 8/2 - 3x/2y = 4 - 3x/2y = -3x/2 + 4
So, m = -3/2and b = 4

Hence, Slope-intercept is y = -3x/2 + 4

To learn more about Slope click on the link
https://brainly.com/question/3493733
#SPJ2

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