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

How many degrees are in a twelfth of a full turn?

Answers

Answer:

30 degrees

Step-by-step explanation:

A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!

Hope this helps you out...have an amazing day c:

360/12 = 30 (360 is one full turn, duh)

can you ou guys please help me with the first two questions?

Answers

number one: multiply by 2
number two: multiply by 5.2 or 5 1/5

A composition of rigid
motions maps one figure to another figure is each intermediate image in the composition congruent to the original and final figures? Explain.

Answers

Answer:

Swaped

Step-by-step explanation:

Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions.

What types of motions create congruent figures?The two are said to be congruent if and only if one of two plane figures can be produced from the other by a series of rigid motions such as rotations, translations, and/or reflections.Because rigid motions preserve length and angle measurements, the corresponding parts of congruent figures are also congruent. As a result, if the corresponding parts of two figures are congruent, there is a rigid motion or a composite rigid motion that maps one figure onto the other.Every point in the plane can be moved in that direction using any method. a) The distance ratio between the two points remains constant. b) The relative positions of the points remain unchanged.

Hence, Yes. Because the figure maintained its congruency throughout every rigid motion. According to Theorem 3-3, a rigid motion is the combination of two or more rigid motions. As a result, the original and final figures can be seen in agreement with each intermediate image.

To learn more about Rigid motions, refer to:

brainly.com/question/22735923

#SPJ2

Who can do number 3 for me quick plss

Answers

Answer: -14

Step-by-step explanation:

Does 3 times 48 equal 4 times 36

Answers

Answer:

Yes

Step-by-step explanation:

3 x 48 = 144

4 x 36 = 144

They are equal.

Answer:

3 * 48 is 144 4 x 36 is also 144 so yes they are equal

How to calculate tan sin cos on calculator ?

Answers

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

At the grocery store, Mr. and Mrs. Bailey bought 24 apples and 18 pears. Write a ratio in simplest form to compare apples and pears.

Answers

Answer:

4:3

Step-by-step explanation:

Legit just simplified it.The original ratio is 24:18. First found the greatest common multiple (GCF) and divided both by it. In this case it was 6. So 24/6 = 4 and 18/6 = 3. Now your newly simplified ratio of apples to pears is 4:3.

Joelle works as a car salesperson. Her monthly pay is calculated with the equation y=500x+1000, where x represents the number of cars sold and y represents her pay in dollars.
What is the meaning of the y-intercept of the equation

Answers

Answer:

The y-intercept is what she gets paid even with no cars sold. Its the minimum she can get paid. Regardless of how many cars she sells, her base pay is $1000.

Step-by-step explanation:

Hope this helped!

The y-intercept of the equation is 1,000 which represents the pay in dollars.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 500x + 1,000

The y-intercept of the equation is 1,000 which represents the pay in dollars.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ3

What is the following sum?

Answers

Answer:

Maybe A sorry if its wrong.

Step-by-step explanation:

Answer: c

Step-by-step explanation: edge 2023 :)

The cost of the lunches for the field trip can be represented by the expression:

4(29) + 4(6).

Identify the values to make these expressions true.

Expand 29 to create an equivalent expression with friendly numbers.
4(
) + 4(6)
Distribute the 4.

Evaluate the multiplication
80 + 36 + 24 =

Answers

20 + 9 is the first answer

4(20)+4(9)+4( 6) is the second answer

80+36+24=140 is the third answer :)

Answer:

1: 20 + 9

2: 4(20) + 4(9) + 4(6)

3: 140

Step-by-step explanation:

look at the picture

Which values are outliers?

5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9

Answers

0.8 Outlier

1.1 Outlier

10.2 Not Outlier

10.9 Not Outlier  

the question is in the photo​

Answers

Answer:

yes

Step-by-step explanation:

half of x which is 4 = y which is 2

you keep doing that with the rest of the xs and ys

What is the quotient of 6 and 2?
?
-12.
1
12.
0

12.
0 12.

Answers

To find the quotient you do 6/ (-1/2). You keep, change, flip when dealing with fractions.

Answer:

-12

Step-by-step explanation:

I got it right on edgen

Can you find a number that satisfy the following property?
a. If you multiply the number by 2 and add 4, the result you get will be the same as three time the number decreased by 7.

Answers

Answer:

11

Step-by-step explanation:

Let the number be x.

Then by the question,

2x+4 = 3x-7

x=11

Answer:

Let the no. be x

then according to the question,

[tex](x \times 2) + 4 = 3x - 7[/tex]

[tex]2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11[/tex]

Equations
#1: Tell whether the function below is linear or exponential.
1 pc
y = 3x - 7

It’s it a linear or exponential

Answers

Answer:exponential

Step-by-step explanation:

The equation is exponential

Evaluate the following expressions for m=-3 n=4 p=2

Answers

Answer:

-8

Step-by-step explanation:

Given:

m=-3 n=4 p=2

Missing Equation:

p2 + mn

Find:

Value of equation

Computation:

p2 + mn

⇒ (2)2 + (-3)(4)

⇒ 4 + (-12)

⇒ 4 - 12

-8

x/7= -9

need help with

Answers

Answer:

x = -63

Step-by-step explanation:

To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.

Answer:

x = -63

Step-by-step explanation:

To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.

Choose the equation of the horizontal line that passes through the point (2, 3). (1 point)
A.X= 2
B.x = 3
C.y=2
D.y = 3

Answers

Answer:

the answer is A, x=2

Step-by-step explanation:

How do I solve |x-1|-1.4 = 6.2

Answers

Answer:

x1= -6.6   x2= 8.6

Step-by-step explanation:

Answer:

x1= -6.6, x2= 8.6

Step-by-step explanation:

|x-1|-1.4=6.2

|x-1|=6.2+1.4

|x-1|= 7.6

x-1=7.6 or x-1= -7.6

x= 8.6 and x= -6.6

1/3 multiplied by -3/4

Answers

Answer:

-.25

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

The answer is -1/4 as 1/3x3/4 is 1/4, and as we have a negative number, the 1/4 flips to -1/4. Hope it helps!

I NEEP HELP PLS !!!!!!! UwU
Write an equation that has a slope of 4 and a y-intercept of (0,2)

Answers

Answer:

y=4x+2

I know this already i learned this 3 years ago

Answer:

The equation would be y=4x+2

Step-by-step explanation:

The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.

Suppose you discover that your growth fund, income fund, and money market fund return
rates are better estimated at 12%, 6%, and 3% per year respectively. How should you invest
the $3200 to get a retum of $255 in one year?

Answers

Answer:−3+3=−4

2+3−=15

4−3−=19

2 3

Step 1: Pair the equations to eliminate y because the y terms are already additive inverses

1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

6 −2=34

Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

into one of the original equations

3 =11

3 5 +2=11

4

5−3+3 −2 =−4

15+2=11

5

6 −2=34

5−3−6=−4

−3−1=−4

9x

2=−4

=−2

= 45

x = 5

−3=−3

=1

The solution (5, 1, -2)

Step-by-step explanation:

How do I find x on lines​

Answers

The center line that goes from left to right is your x axis and the line that goes from top to bottom is you y axis

Which one?
A. B. C. or D? ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

step-by-step explanation

IVE BEEN TRYING TO GET THE ANSWER FOR THIS WITH A PICTURE AND KEYBOARD PLEASE HELP (It’s a picture)

Answers

Answer:

Step-by-step explanation:

You paint 1/2 wall in 1/4 hour. At that rate, how long will it take you to paint one wall?​

Answers

Answer:

40 minutes is your answer

Answer: It will take a 1/2 hour or 30min to paint one full wall.

 

if 22,x,y,31 are in ap. find the values of x and y​

Answers

Answer:

x = 25, y = 28

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and

a₄ = a₁ + 3d = 31 , that is

22 + 3d = 31 ( subtract 22 from both sides )

3d = 9 ( divide both sides by 3 )

d = 3

Thus

x = 22 + 3 = 25

y = 25 + 3 = 28

Please help me with is question

Answers

Answer:

[tex]{1.8 \times 10}^{10} \: opton \: b. \: is \: correct[/tex]

Step-by-step explanation:

[tex] {1.5 \times 10}^{6} \times 12000 = \\ {1.5 \times 10}^{6} \times {1.2\times 10}^{4} = \\ {1.8 \times 10}^{10}[/tex]

Answer: B

Step-by-step explanation:

Keep writing the equation until you get to lowest terms.

[tex]15[/tex] × [tex]10^{6}[/tex] × [tex]12,000[/tex] =

[tex]15[/tex] × [tex]10^{2}[/tex] × [tex]1.2[/tex] × [tex]10^{4}[/tex] =

[tex]1.8[/tex] × [tex]10^{10}[/tex]

The answer is option B.

what is 65 + 4 1 grade math class

Answers

Answer:

106

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

Two angles are supplementary. If one of them is 30 degrees, the other is...

150
150

30
30

15
15

60

Answers

Answer:

450

Step-by-step explanation:

I think the answer is 450
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