what is the equation of the line that passes through the points (4,3) and (6, 2)?​

Answers

Answer 1

Answer:

y = -1/2 x + 5

Step-by-step explanation:

1) y = mx + b

2) m is the slope and b is the y-intercept

3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1

4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.

5) Now, just plug the numbers into the formula for m above, like this: m = -1/2

6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b

7) To find b, think about what your (x,y) points mean:

(4,3). When x of the line is 4, y of the line must be 3.

(6,2). When x of the line is 6, y of the line must be 2.

8) You can use either (x,y) point you want..the answer will be the same:

(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.

(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.

9) So, this means that the equation of the line is y = -1/2 x + 5


Related Questions

20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?

A The amount a babysitter who makes $7.50 per hour earns in h hours

B The cost of purchasing p pounds of oranges for $1.35 per pound

C The number of gallons of water in x barrels with 13 gallons of water in each barrell

D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds

Answers

Answer:

d

Step-by-step explanation:

i think its d

The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

Answers

Answer:

[tex]g(x)=-2\sqrt[3]x[/tex]

or

[tex]g(x) = -2f(x)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt[3]x[/tex]

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex](x_2,y_2) = (1,-2)[/tex]

We can represent g(x) as:

[tex]g(x) = n * f(x)[/tex]

So, we have:

[tex]g(x) = n * \sqrt[3]x[/tex]

For:

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]2 = n * \sqrt[3]{-1}[/tex]

This gives:

[tex]2 = n * -1[/tex]

Solve for n

[tex]n = \frac{2}{-1}[/tex]

[tex]n = -2[/tex]

To confirm this value of n, we make use of:

[tex](x_2,y_2) = (1,-2)[/tex]

So, we have:

[tex]-2 = n * \sqrt[3]1[/tex]

This gives:

[tex]-2 = n * 1[/tex]

Solve for n

[tex]n = \frac{-2}{1}[/tex]

[tex]n = -2[/tex]

Hence:

[tex]g(x) = n * \sqrt[3]x[/tex]

[tex]g(x)=-2\sqrt[3]x[/tex]

or:

[tex]g(x) = -2f(x)[/tex]

Giving brainlist to whoever answers

Answers

Answer:

C 2496 in3

Step-by-step explanation:

Answer:

2496 in3

Step-by-step explanation:

Volume = LWH

24*8*13 = 2496

2 easy questions for 35 points

Answers

Answer:

for question 5

(1) 9x > 3x + 6

6x > 6

x=1

(2) $100-$10=$90

$90/5=18

Joan would need to work 18 hours

for question 6

P+ (PRT)/100

475 + 475(8.5)(12)/100

475+484.5

= 959.5

I hope this helped you ;)

Write the equation of a line going through the points: (1, -2) and (-2, 4)

Answers

Answer:

Step-by-step explanation:

y=-2x

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

800 full marks

Step-by-step explanation:

295 + 25 = 320 marks required to pass

320 / 0.40 = 800 full marks

Leo and Maggie volunteer at the local bird sanctuary.

Volunteers carry walkie-talkies. Leo notices that his walkie-talkie’s battery charge is only at 20%.

When fully charged, the batteries last 12 hours. Leo thinks the walkie-talkie will last for his entire 3-hour shift

Answers

Answer:2.4

Step-by-step explanation:

12 * 20% = 12 * 0.20 = 2.4 hours

It will not last the entire shift.

One dozen students each drop a brass tack six times from a height of six inches onto a level hard surface. They record the number of times the tack lands point up. The table below lists their results.
What was the experimental probability that the tack lands point-up for student 4?

Answers

Experimental Probability = 2/3

To find the experimental probability that the tack lands point-up for student 4, we can use the following equation

[tex]\frac{Point-up}{Attempts}\\\frac{4}{6} or\frac{2}{3}[/tex]

If this helped you a Brainliest would be appreciated!

Answer:

0.75

Step-by-step explanation:

Find the area of the rectangle on this centimetre grid.

Answers

Answer:

Step-by-step explanation:

I think this question is not clear.

If you could explain/upload the centimeter grid it'd be explain.

But generally, what you should do is: calculate the number of centimeters on the longer side (length (l)) and note that, now calculate the number of centimeters on the shorter side (breadth(b)).

Use the formula, Area of a rectangle = l×b to solve your math problem

PLZ HELP! BRAINLIEST IS ON THE LINE!!!!!!!!!!!!!!!!

Answers

-97.7-36.50.06

.. .. ..

Answers:

-97.7-36.50.06

Hope this helps!

--Applepi101

Grant made a $2800 investment that piece is simple interest rate at 6% per year. To the nearest hundredth which of the following is the amount of interest here and after one year

F. $1,680.00
G. $46.67
H. $466.67
J. $168.00

Please help ASAP

Answers

F i just did that question on a test a while ago

Answer:

$1,680 - F

Step-by-step explanation:    

You do 2800 x 0.6 in ur calculator which is 1680..

NOTE:I haven't done 5/6th grade math in so long.. So correct me if I am wrong please.But I tripple checked this.

please helpppppppp , thank you!

Answers

Answer:

1/2 is likely but I'd rather go with 2

please help with this. i can even give brainliest!!!!

Answers

Answer: i think 10

Step-by-step explanation:

Please help I will give brainliest IF IT IS CORRECT

Answers

Answer:

third graph and (3, -1)

Step-by-step explanation:

y = 2/3x - 3

y = -2x + 5

2/3x - 3 = -2x + 5

2 2/3x = 8

8/3x = 8

8x = 24

x = 3

find 'y'

y = -2(3) + 5

y = -1

The third graph is correct because it shows both a line intersecting the y-axis at -3 and the negative slope line is crossing at +5

a phone is 35 percent off which is now worth 78 pounds what was the original price

Answers

Answer:

120 pounds

Step-by-step explanation:

65% of y= 78 pounds

[tex]\frac{65}{100}[/tex] × y = 78 pounds

65y = 78  × 100=7800

y= 7800/65= 120 pounds

Please answer need fast

Answers

Answer:

B is the correct ans

please mark brainliest

Expand and simplify 3(2x-y)-2(4x-2y)

Answers

-2x+y is the answer

A
B
с
D
[1]
Which carboxylic acid has an M. of 46?
A
butanoic acid
B
ethanoic acid
С
methanoic acid
D
propanoic acid
D
B


Guys please helpppp I have an exam

Answers

Answer:

d is the answer young man

A carpet costs $5 per square meter
and underlay costs $3 per square
meter. A bedroom measures 7m by
8m. How much will it cost to carpet
and underlay the entire room?



Y’all help me

Answers

Answer:

448

Step-by-step explanation:

Need help fast
Help please

Answers

Answer:

x= -5    y= 6

Step-by-step explanation:

Answer:

y2

x3

-4

=x10

11

22

x10

y3

x14

1) Find the missing side. Give your
answer in simplest radical form.

Answers

Answer:

x = 4

y = 4√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 8

Adjacent = y

Opposite = x

Recall: SOHCAHTOA

✔️To find x, apply SOH:

Sin 30 = Opp/Hyp

Sin 30 = x/8

x = 8 × sin 30

x = 8 × ½ (sin 30 = ½)

x = 4

✔️To find y, apply CAH:

cos 30 = Adj/Hyp

Cos 30 = y/8

y = 8 × Cos 30

y = 8 × √3/2 (cos 30 = √3/2)

y = 4 × √3

y = 4√3

im just clueless i need help

Answers

Answer:

.....

Step-by-step explanation:

on what

Answer:

I didn't help because you did not ask any questions

The formula for throwing a baseball in the air is represented by h=-16t^2 + 12t + 40 where h is the height of the ball. What is the maximum height of the ball?

Answers

Answer:

the maximum height of the ball is 42.25 m

Step-by-step explanation:

Given the height function as;

h(t) = -16t² + 12t + 40

At maximum height, the final velocity of the ball will be zero.

The final velocity is calculated as follows;

[tex]v = \frac{dh(t)}{dt} = -32 t+ 12\\\\at \ maximum \ height\ v = 0\\\\Thus, -32 t+ 12 = 0\\\\32t = 12\\\\t = \frac{12}{32} \\\\t = 0.375 \ s[/tex]

At maximum height, the time of motion of the ball is 0.375 s.

The maximum height is calculated as follows;

h(t) = -16t² + 12t + 40

h(0.375) = -16(0.375)²   +   12(0.375)    +   40

h(0.375) = -2.25  +  4.5  +  40

h(0.375) = 42.25 m

Therefore, the maximum height of the ball is 42.25 m

the triangle below has an area of 25 units2, find the missing side

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]A= 0.5 bh[/tex]

[tex]25=0.5 (10)h\\\\[/tex]

[tex]25=5h[/tex]

[tex]5h=25[/tex]

[tex]h=5[/tex]

[tex]-------[/tex]

Select all statements that show correct reasoning for finding 15 ÷ 2/9 * Multiply 15 by 2, then divide by 9. Multiply 15 by 9, then divide by 2. Multiply 15 by 1/9, then multiply by 2. Multiply 15 by 9, then multiply by 1/2

Answers

Answer:

Multiply 15 by 9, then divide by 2.

Step-by-step explanation:

We need to solve the given expression.

[tex]15\div \dfrac{2}{9}[/tex]

We know that, [tex]a\div \dfrac{b}{c}=a\times \dfrac{c}{b}[/tex]

We have,

a = 15, b = 2 and c = 9

So,

[tex]15\div \dfrac{2}{9}=15\times \dfrac{9}{2}\\\\=\dfrac{15\times 9}{2}\\\\=\dfrac{135}{2}\\\\=67.5[/tex]

So, the steps are "Multiply 15 by 9, then divide by 2".

Find the sum: (x^5 - 2x^4 + 3x^2 - 6) + (3x^4 + 4x^2 + x + 4). Enter your answer as a
polynomial in descending order below, and use the caret (^) for exponents.
For example, you would write 4x2 as 4x^2.

Answers

Answer:

The sum of the two equation is [tex]x^5 + x^4 + 7x^2 + x -2[/tex]

Step-by-step explanation:

The given two equations are

[tex](x^5 - 2x^4 + 3x^2 - 6)\\ (3x^4 + 4x^2 + x + 4)[/tex]

Now rearranging the two equation in such a way that variables with similar with same power are grouped together -

[tex]x^5 - 2x^4 + 3x^4 + 3x^2 + 4x^2 + x- 6+ 4\\x^5 + x^4 (3-2) + x^2 (3+4) + x -6+4\\x^5 + x^4 + 7x^2 + x -2[/tex]

what is the circumference area?

Answers

I believe the circumference is 52.15.

ANSWER FOR BRAINLIEST:

Ben's scores on his tests this semester are: 42, 70, 74, 77, and 76.

What is the best measure to describe the center of Ben's scores?

A. Mean, because the outlier skews the median.

B. Median, because the outlier skews the mean.

C. Mean, because there is no outlier.

D. Range, because it measures the spread.

Answers

a. mean, because the outlier screws the median

Answer:

it's A. Mean, because the outlier skews the median.

Container A has 200 Liters of water, and is being filled at a rate of 6 liter per minute. Container B has 500 Liters of water, and is being drained at a rate of 6 liters per minute. How many minutes will it take for both containers to have the same amount of water.

Answers

Answer:

25 minutes

Step-by-step explanation:

let x represent total time when both containers to have the same amount of water.

the equation to represent container A = 200 + 6x

the equation to represent container B = 500 - 6x

Because both containers would have the same amount of water,  the two equations would be equal to each other

200 + 6x = 500 - 6x

collect like terms

12x = 300

x = 300/12

x = 25 minutes

please answer the following on the attachment

Answers

Answer:

42cm²

Step-by-step explanation:

*internal screaming* okay, let's go:

So, at this point, I don't even know what I'm doing, so I'm not going to guarantee that this is right, I'm sorry, but let's do some random math:

So we know that the length (the top and bottom) of the rectangle is 7 cm, we just have to figure out the width (the sides), and we're gonna do that by:

0.5 x 2 = 1

7 - 1 = 6

So now we just do the basic rectangle area calculation:

7 x 6 = 42

So, I hope that the area of the shaded area is 42cm²

if this is wrong, let me know so I can fix it

hope this helps:/

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