write an equation of the line and interpret the slope ​

Write An Equation Of The Line And Interpret The Slope

Answers

Answer 1

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Answer 2

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!


Related Questions

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

25t=12.5
find the value of t

Answers

Answer:

t = 0.5

Step-by-step explanation:

Divide both sides by 25.

t = 12.5/25

t = 0.5

Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?

Answers

I believe she swam for 3 3/4 in all.

Answer:

3 3/4

Step-by-step explanation:

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

Answers

Answer:

4x + 7y = 3365

x + y = 578

x = matinees

y = regular

Step-by-step explanation:

Given

$4 = matinees

$7 = regular

Total tickets = 578

Money collected = $3365

If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;

4x + 7y = 3365

x + y = 578

Solving the system;

Multiply the second equation by (-4)

4x + 7y = 3365

-4x - 4y = -2312

Add the equations

4x + 7y = 3365

-4x -4y = -2312

3y = 1053

Inverse operations

3y = 1053

/3        /3

y = 351

x = 227

write an equation of the line that passes through the given point with the given slope. (-1,4) m=-3

Answers

Answer:

y - 4 = -3(x + 1)

Step-by-step explanation:

Let's use the point-slope formula y - k = m(x - h):

y - 4 = -3(x + 1)

draw a number line with the solution to :1/4 - 1/2

Answers

1/4 - 1/2 = -1/4 but 1/2 - 1/4 = 1/4

Which graph has a slope of -3?

Answers

D.

Its the only one going down 3 and over 1.

The answer would be D because it says -3 and not just 3.

What effect does inflation have on the prices of goods and services?

A. Prices decrease

B. Prices double

C. Prices increase

D. Prices stay the same

Answers

Answer:

C, price increases

Step-by-step explanation:

this is correct I promise you.

Answer:

C

Step-by-step explanation:

Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.

z=2 = 27

_____ __

4 12

Answers

Answer:

hmmmmmm

i believe that the answer is _

because of _

(i helped w/ your other one lol)

Step-by-step explanation:

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Answers

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Answers

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form

Answers

3^2
Here’s the working out;

Find the equation of the line shown

Answers

Step-by-step explanation:

at 3=3

at 0=9

at 4=1

[tex]y = ax + b[/tex]

[tex]1 = 4a + b \\ 3 = 3a + b \\ 2 = - a \\ a = - 2 \\ 1 = - 4 \times 2 + b \\ b = 1 + 8 = 9 \\ y = - 2x + 9[/tex]

Answer:

y=-2x+9

Step-by-step explanation:

From looking at the line you can already tell that the slope is going to be negative, and the y-intercept is going to be 9, since that's where y is when x is 0. You can see that when x is one, y is 7. When x is 2, y is 5. And when x is 3, y is 3.

So:

0: 9

1:7

2:5

3:3

And the difference of y over the difference of x is the slope

-2/1=-2

So the slope is -2

Therefore, putting the equation together makes:

y=-2x+9

Hope this helps!

3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?​

Answers

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

3y+2x-4+5x+7
Simplify

Answers

Answer:

3y+7x+3

Step-by-step explanation:

3y+2x+5x-4+

=3y+7x+3

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?

Answers

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Give me a brainiest, please.

please help, urgent. picture shown.

Answers

Answer: 80

Step-by-step explanation:

First, find the area of the square by doing 12 x 12. (Which = 144)

Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.

This should get you 63.62, or 64 when rounded up.

You then subtract 64 from 144 and get 80 for your answer.

When dilating a triangle, to enlarge the triangle you must use a scale factor that is:
A) a number > 1
C) a number = 1
B) a number < 1
D) a number = 0

Answers

Answer:

is D

Step-by-step explanation:

because it's the answer

Answer:

o

Step-by-step explanation:

scale factor= 0..........

Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.

Answers

Answer:

I have the same question

Step-by-step explanation:

message me if anyone helps I need it too

9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.

Answers

Answer: the x should be next to the 107 instead of the 89

Step-by-step explanation:

It should be 107x+89 as 89 is the independent variable just as shown in the text and only 107 is the dependent variable which depends on the number of month so x represent the month should be nest to 107

What is the value − 3 1/4 ∙ 2 1/3

Answers

Answer:

the value of this is-217÷4 = -54.25

The temperature dropped 6°C every hour for 6 hours. What was the total number of degrees the
temperature changed in the 6 hours?
The total change in the temperature was
loc.

Answers

About 42 degrees fahrenheit

Write 0.721 as a fraction. Show your work.

Answers

Step-by-step explanation:

721/100

It is correct answer

It would be 721/1000
(If you want me to explain I can)

Hope this helps

Have a great day/night

A. ( x + 5)

B. ( x - 5 )

C. ( x + 3 )

D. ( x - 3 )

Answers

Answer:

(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0

Step-by-step explanation:

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.

The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.

Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.

An asterisk * or × is the symbol for multiplication.

Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.

The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon

A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees

Answers


A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

How to solve this I need it done by tonight please

Answers

Step-by-step explanation:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

180° rotation
Pre rotation points

Answers

Answer:

whats the question???????????

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