Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer 1

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]
Answer 2

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:


Related Questions

i need help plz thank you

Answers

Answer:

8 times blank = 48

Good luck!!!

If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in
35 hours?

Answers

Answer: I'm pretty sure they mowed 61 lawns

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

first divide 4 by 7 to see how much lawn ncan be mowed in an hour

4/7=0.5714

multiply by 35 = 19.9999

so almost 20 lawns

If BC measures 8 inches, the approximate area of circle B is
square inches.

Answers

The answer 16 8+8=16

The area of the circle radius as 8 inches will be 201.062 inches².

What is a circle?

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Given the circle with a radius BC of 8 inches.

Area of circle = πr² where r is the radius of the circle.

So,

Area = π(8)² = 201.062 inches.

Hence "The area of the circle radius as 8 inches will be 201.062 inches².

To learn more about the circle,

https://brainly.com/question/266951

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The given question figure is missing the figure has been attached below;

solve for x: 1/2(x-10)=3/4(x+20)

Answers

Answer:

x = -80

Step-by-step explanation:

[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]

Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?

Answers

Answer: Everyone would get about 7 pizzas

Step-by-step explanation:

I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.

The sum of -3/8 and 2 2/3

Answers

Answer:

27/24 or (Decimal: 2.291667)

Step-by-step explanation:

Help, please. I will give brainliest to anyone that answers first. ​

Answers

Answer:

5000 I think bc 5 times 1000 is 500

Answer:

Step-by-step explanation:

1000 meter = 1 kilometer

1 km= 1000 meter

constant proportionality

y/x=k

y is km , x is meter

1/1000=k

y=1/1000 x (x is the number of meters)

meter                              Km

250                                0.25

12                                   12/1000=0.012

1                                      1/1000

kilometer                      meter

5                                   5000

20                                20000

0.3                               300

HURRY UP NEED HELP
7. Find the equation of a line that fits the data shown in the graph below.

Answers

Answer:

y=-x+3/2, I hope that I hoped, and by the way, it is NEGATIVE x. It's a little hard to see :P

Answer:

y=2x + (-1)

Slope is m=2 and the y-intercept is b= -1

I can’t answer this question

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The radicals get in the way a bit, so we can define ...

  x = √p

  y = √q

Then the equation is ...

  (x +y)/(1-x) = (4x+y)/(1-x^2)

Multiplying by (1-x^2), we have ...

  (x +y)(1 +x) = 4x +y . . . . . . using 1-x^2 = (1-x)(1+x) the 1-x factor cancels

  x^2 +xy +x +y = 4x +y . . . eliminate parentheses

  x(x +y) = 3x . . . . . . . subtract (x+y)

  x +y = 3 . . . . . . . . . . divide by x

This is the sum we're looking for:

  √p +√q = 3

Answer: The answer is 3

Step-by-step explanation:

The cost y (in dollars) for x yards of fabric is represented by y=4x. Graph the equation.

Answers

Answer:

(0,0) (1,4) See the explanation below for the graph.

Step-by-step explanation:

f (0) = 4 x 0 = 0

f (1) = 4 x 1  =  4

(0,0) (1,4) * Remember X1 and Y1, X2 and Y2.

Answer for brainliest!!!! YOU CAN DO IT!!!

Answers

what is the question pls.

can you pls tell me

t>28 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

what type of number is -15

Answers

The answer is: Negative number

Answer:

an integer

Step-by-step explanation:

integers are whole number that includes positive number, negative numbers, and zero

What is an equation of the line that passes through the points
(0,8) and
(−8,−4)? Put your answer in fully reduced form.

Answers

I guess ,

y+4 = 1.5 (x+ 8)
y+4 = 1.5x + 12
1.5x - y = -12+4


1.5x - y = -8

Answer:

Answer given in the photo

What is the value of x?
(5х)

110°
110°
70
14

Answers

Answer:

The answer to your question is :The value of 5× = 110°

Write the equation of the line that passes through the point (3,5) and is perpendicular to the line y=3.
x=3
y=5
x=2
y=3

Answers

Answer:

x = 3

Step-by-step explanation:

y = 3 is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it must therefore be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (3, 5) with x- coordinate 3 , thus

x = 3 ← equation of perpendicular line

Express x in terms of y:
3(x + 2y) = 2x = 5y

Answers

Answer:

-6y=x

Step-by-step explanation:

3x+6y=2x=5y

Subtract 5y from all

3x+y=2x-5y

subtract y and 2x from both sides

x=-6y

Marsha gave the cashier 20 to pay for 3 pairs or socks.

Answers

Ok can u say the full problem ?

First, you must subtract.

$20 - $5.03 = $14.97This is because he recieved $5.03 in exchange.

Next, you must divide by 3.

$14.97 / 3 = $4.99

Therefore each pair of socks costs $4.99.

Hope this helps!

write an expression for a number that is 5 times greater than 2

For pre-algebra class

Please help thanks i need it thanks a lot for helping me thank you alot

Answers

Answer:

x = 5x > 2

or just 5x > 2 ya its that

Step-by-step explanation:

What is the missing exponent? and the numerical answer

Answers

Answer:

? = -4

Step-by-step explanation:

I believe it is -4 because you multiple the exponents so 2*-4=-8.

ARF HELP PLS RN jdsodjksldkdks

Answers

60, because 30+90 is 120 and 180-120 is 60 and since that angel is the same as x, x=60

Vinnie is 1/2 as old as Julie Julie is 24 how old is vinnie

Answers

Answer:

Vinnie is 12.

Step-by-step explanation:

24 divided by 2 is 12

A fraction is the representation of a decimal number so the fraction of 1/2 of 24 is 12 thus its age of Vinnie is 12 years.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, the fraction is the division of the two numbers, but the division is not wholly complete.

For example, 1/3 is a fraction and in decimal, it is 0.333. Here 1 will be called a numerator while 3 will be the denominator.

Given that,

Age of Julie = 24 years

Age of  Vinnie = 1/2 of 24

The 1/2 fraction of 24 will be

⇒ 24/2 = 12 years.

Hence "The fraction of 1/2 of 24 is 12 thus the age of Vinnie is 12 years".

For more about fractions,

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23.79 divided by 3 estimate

Answers

Answer:

Answer: 7.93

Estimate: 8

Answer: 7.93, or to the nearest tenths, 7.9

Drag the cards to create a number that matches these rules.
The number ends in the tenths place.
8 is the nearest one when rounding

Answers

The tenths place one

Write an equation in slope-intercept form if the y-intercept is (0, -4) and the slope is 6?

Answers

Answer:

y=6x-4

Step-by-step explanation:

for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4

PLEASE HELP ASAP!! I'LL GIVE YOU BRAINLIEST!!

Answers

Answer:

-5

Step-by-step explanation:

This is the correct answer, I messed up at first so I edited it. (my bad)

how to find the square root of 1225​

Answers

35 is the square root




Hope i helped

Answer:

35

Step-by-step explanation:

The square root is 35 because if you multiply 35 times 35 ([tex]35^{2}[/tex]), it would equal 1225.

Hope this helps and pls do mark me brainliest if you can:)

The sun produces 3.8 * 10 to the 27 power joules of energy per second. How much energy is produced in a year?

Answers

Answer:

1.20 × 10^35

Step-by-step explanation:

There are 60 seconds in 1 min and there are 60 mins in 1 hour. So in an hour there are 60 × 60 = 3600 seconds. There are 24 hours in a day. In a day, there are 3600 × 24 = 86400 seconds. A year is 365 days. So in a year there are 86400 × 365 = 31536000 seconds.

[tex](3.8 \times {10}^{27}) \times 31536000 = 1.20 \times {10}^{35} [/tex]

slope of one dotted lines:
slope of the reflection line:​

Answers

Answer:

Slope of dotted lines: 1

Slope of reflection line:​ -1

Step-by-step explanation:

For the dotted lines, the rise up by one unit and run for one unit, thus their slopes are 1.

For the reflection line, it does the same thing as the dotted line, but instead of rising one unit, it goes down for one unit and runs for one unit, making its slope -1.

help pls . .. a a z z z z . zz

Answers

Answer:

the lines are perpendicular

I believe it’s Perpendicular
So sorry if it’s wrong

Jacob spent $10 of the $25 in his wallet write a decimal that represents the fraction of the $25 Jacob

Answers

Answer:

0.4, incase you want it, it also is 40% and [tex]\frac{2}{5}\\[/tex].

Step-by-step explanation:

10/25 =0.4

Hope this helped :D

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