Mathematics High School

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3

Answers

Answer 1

Answer:

y = –5x – 17

Step-by-step explanation:

First, we shall determine the slope of the equation y = 1/5x – 3.

The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.

This is illustrated below:

y = 1/5x – 3

y = mx + c

Thus, the slope (m) of equation

y = 1/5x – 3 is 1/5

Next, we shall determine the slope of the line perpendicular to the equation as follow:

For perpendicular lines, their slope (m1 and m2) are related as follow:

m1 × m2 = –1

m1 = 1/5

1/5 × m2 = –1

m2/5 = –1

Cross multiply

m2 = 5 × –1

m2 = –5

Therefore, the slope of the line is –5.

Finally, we shall determine the equation of the line as follow:

Coordinate = (–5, 8)

x1 coordinate = –5

y1 coordinate = 8

Slope (m) = –5

y – y1 = m(x –x1)

y – 8 = –5(x – (–5))

y – 8 = –5(x + 5)

y – 8 = –5x – 25

Rearrange

y = –5x – 25 + 8

y = –5x – 17

Therefore, the equation is y = –5x – 17.

Related Questions

PLEASE HELP QUICK WILL THANK AND GIVE BRAINLY

A doctor has office hours 3 days each week. Each day she sees 24 patients.
How many patients does she see in one year? Remember, there are 52 weeks in a year.

Answers

Answer:

3774

Step-by-step explanation:

Select the table that represents a linear function. (Graph them if necessary.)

Answers

X 0 1 2 3
Y 5 10 15 20

Answer C

Because the X’s increase in a constant rate By 1
And the Y’s increase in a constant rate by 5

(-45) + (+3) =

A -42

B -40

C 40

Answers

Answer:

Step-by-step explanation:

-42

5.) Which point on the number line below
represents ?
A
В с
D
0
1
2
3
4
a) Point A
c) Point C
b) Point B
d) Point D

Answers

The answer is a) Point A
the answer is point a .

a plane flies at 500km/h. 720 km how long does it take to travel 720km?

Answers

Answer:

Step-by-step explanation:

Speed = 500km/h

Distance = 720km.

Time = ?

Use your formula:

Time = Distance / Speed

Time = 500/ 720 = 1.44 hours

3/2 x -9 = 0 hiiiiiiiii please help :)

Answers

Answer:

x=6

Step-by-step explanation:

3/2x-9+9=0+9

3/2x=9

2. 3/2x=9. 2

3x=18

3x/3=18/3

x=6

Answer:

Hewo There!!

_______________________

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

x  =  6

______________________

“How wonderful it is that nobody need wait a single moment before starting to improve the world.” – Anne Frank

______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2

Answers

Answer:

y = 2x + 11

plug the values into y = mx+b:

3 = 2(-4) + b

solve, and you get

3 = -8 + b

b= 3+8 = 11

so, the equation is y = 2x+11

the answer is y= 2 x + 11

Write an equation of the line passing through point P(4,3) that is parallel to the line y = 12(x+4).

Answers

Answer:

y=12x-45

Step-by-step explanation:

First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.

Now we have:

y=12x+48

where the slope is 12.

Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.

Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)

Step 1 for this: y-3=12(x-4)

Step 2: we will distribute and solve for y so our answer is in slope intercept form.  

Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45

Our answer is y=12x-45

Hope this helps!

Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.

a. Yes
b. No

Answers

It’s is yes hopes that helps lol
the answer is a (yes)

Can someone answer this for me?

Answers

When you divide 6.5 by 2.5, you get 2.6. So, multiply 5.2 and 2.6 to get y=13.52!

help mehhhhhhhhhhhhhhhhhhhhhhh ;(

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Answer:

180 minutes in 3 hours 225 miles in 3 hours

Step-by-step explanation:

PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST

Answers

Ok so it's lemon juice to sugar. I seen one that is 1:1 (1 juice to 1 sugar) do the 2nd lowest juice to sugar after this and keep going till the last ratio.

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).

Answers

The answer is that the mass would be 310.7 on the 12th day

simplify 3x(4x-5)+3 and its value for X = 3​

Answers

Answer:

Step-by-step explanation:

3x ( 4x - 5 ) + 3

12x^2 - 15x + 3

12 × 3^2 - 15 × 3 + 3

12 × 9 - 45 + 3

= 108 - 45 + 3

= 66

Hope this helps

plz mark as brainliest!!!!!!

Bill cut out 6 squares and 8 circles . He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

Answers

Answer:

2 groups

Step-by-step explanation

To find out how many groups can be made for 6 circles and 8 squares, start by finding what you can divide by both numbers.

                 6 can be divided by:                               8 can be divided by:

                                 1                                                                  1

                                 2                                                                 2

                                  3                                                                 4

                                  6                                                                 8

The greatest number that they both have in common is 2. There would be 3 circles and 4 squares if Bill divided into 2 groups.

I hope this helped. Let me know if you still have any questions!

Sammi had 19 marbles and bob gave him 1/7 of his marbles now Sammi has 27 how many marbles did bob have originally?
pls help

Answers

Answer:

56

Step-by-step explanation:

27 - 19 = 8

8 x 7 = 56

plz help me its due soon :( im sad

Answers

Answer:

your answer should be 25 feet

Step-by-step explanation:

Answer:

why are you sad

Step-by-step explanation:

25 ft

What is the value of y

Answers

it’s the second option!

10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation

Answers

Answer:

[tex]x = - \frac{3}{2} [/tex]

Step-by-step explanation:

-4x+7=15-2

subtract number 15-2

-4x+7=13

-4x=13-7

-4x=6

divide

x=-3 over 2

I NEED HELP ASAP!!!
Question: Which equation applies the associative property of multiplication?

Answers

i’m not 100% but from what i know i think it’s (C.)

Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work?

Answers

Answer:

99 TVs

Step-by-step explanation:

5 and a half hours is about 330 minutes.

9:30 = x:330

If 30 * 11 = 330, then 9 * 11 will equal x.

Judy should inspect 99 TVs.

A person who weighs 150 pounds on Earth will weigh 405 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth? *

Answers

Answer:

324

Step-by-step explanation:


[tex]80 = 6400 \div [/tex]
plssss I need help​

Answers

is there more to the question?

HELP ME NOW PLEASSEEE
A number line going from 2 to 3 in increments of StartFraction 1 over 10 EndFraction. Point C is between 2.3 and 2.4, point B is between 2.5 and 2.6, point A is between 2.8 and 2.9, point D is at 3.

A koala bear is approximately 2 5/6
feet tall. Which point on the number line represents this value?

A
B
C
D

Answers

Answer:

its A

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

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Answers

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You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,

Answers

Answer:

13

Step-by-step explanation:

I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking

Answer:13

Step-by-step explanation:

not sure if correct but

expand and simple 3(x-3) - (x-4)​

Answers

Answer:

Distribute the 3 to the parenthesis, and the -1 to the parenthesis.

This will result to:

3x-9-x+4

2x-5

3(x-3) - (x-4)
3x-3 -1(x-4)
3x-3-1x+4
2x+1

What is the solution to the inequality f+4<2
a.f<6
b.f<-2
c.f<2
d.f<-6

Answers

Step-by-step explanation:

option b is the correct answer

Here is a list of numbers
-45 -21 -16 12 33 40

Write down two numbers that have a difference of 29

Answers

Answer:

45 and 16 because:45 - 16 = 29

answer first for brainliest

Answers

Answer:

ok

Step-by-step explanation:

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