find the equation of the line that passes through a and b

Answers

Answer 1
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2, 3)
m = = = 2, thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation.
Using B(2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line

Related Questions

The activity in Jamal's savings account for the month of December is shown in the table below.
Jamal's Savings Account
Starting Balance
$232
Deposit
$57
Deposit
$16
Withdrawal
$28
Withdrawal
-$42
Deposit
$105
Withdrawal
-$54
What was Jamal's account balance at the end of the month?
O $534
o $410
O $286
O $54
No

Answers

Answer:The answer is 286

Step-by-step explanation:just add and subtract

Answer:

C: $286

Step-by-step explanation:

add and subtract them

Find the area of the geometric figure.

Answers

Answer:

area is 210 mi

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

21 x 7 = 147

14 - 7 = 7

7 x 9 = 63

147 + 63 = 210

The length of a car is 15 2/5 meters. What is the length of 7 cars?

Answers

Answer:

107  4/5. This is because 2/5 is 0.4 and 15 times 7 is 105.

Use distributive property to write the expression as a product: 8 4y + 22+ 7y =​

Answers

11y+30 Is the simplified equation. Not sure if this helps any but It's we're talking about rn ;-;

A football stadium holds 17,700 seats. The lower level has 300 seats less than 4 times the number of seats in the upper level. The middle level has 500 more seats than twice the number of seats in the upper level. Let x represent the seats in the upper level. Which equation can be used to find the number of seats in the upper level?
A.7 x + 200 = 17,700
B.6 x + 200 = 17,700
C.7 x minus 200 = 17,700
D.6 x minus 200 = 17,700

Answers

Answer:

C. 7x-200=17700

Step-by-step explanation:

When you write an equation for the middle and lower row you can add them together to get 6x+200=1700 but you still must include the upper row so you add x which results in c. If you solve you get x=2500 and if you plug that back into you equations for the lower and middle rows and then add the upper row you get 17700.

Answer:

7x+200=17,700 because if you set up an equation for each level, the upper level is just x, the middle level is 2x=500, and the lover level is 4x- 300. if you add all 3 equations together and set it equal to 17,700, it equals 7x+200=17,700

Step-by-step explanation:

Hope it helps :)

In the figure below, lines m and n are parallel:

In the diagram shown, 27 measures 97 degrees. The measure of 28 is
degrees?

Answers

Answer:

the measure of angle 8 is 83 degrees

Step-by-step explanation:

need these asap, will give brainiest and points

Answers

1)

2 12 Yes its Proportional
3 18 M=6
4 24 y=6x
5 30



2)

2 6 Yes proprional
3 9 m=3
4 12 y=3x
5 15


3)

3 2.25 Yes proportional
4 3.00 m=.75
5 3.75 y=.75x
6 4.50


4)


2 10 —
3 15 m=5
4 20 y=5x
6 30

8+-2w>4
I dont know this i gotta solve fore w.

Answers

Answer:

w < 2

Step-by-step explanation:

Subtract 8 from both sides.

-2w > -4

Divide both sides by two. WHEN YOU DIVIDE BY A NEGATIVE, the sign FLIPS!

w < 2

There ya go! Please mark me as Brainliest; I need it to move on to the next level. =D

Bobby and his brother had 3/4 of a pizza leftover after dinner. Their father came home and are 1/2 of the leftover pizza .how much pizza did their father eat

Answers

Answer:

3/8 of the pizza

Step-by-step explanation:

3/4*reciprocal of 2

3/4*1/2

3/8

3/8

3/4÷1/2= 0.375

0.375= 3/8

16+6×(4 exponent -1)

Answers

Answer:

17.5

Step-by-step explanation:

What is the measure of

Answers

Answer:

∠ RST = 72°

Step-by-step explanation:

∠ RST and 4x - 24 are alternate exterior angles and congruent, thus

4x - 24 = 3x ( subtract 3x from both sides )

x - 24 = 0 ( add 24 to both sides )

x = 24

Thus

∠ RST = 3x = 3 × 24 = 72°

-3x + 14 = 7x - 7
Jelppppppp

Answers

Step-by-step explanation:

yeah she be correct 2.1

Extra points!!
Given: Circle M
Given: Segment MA bisects Segment BC
Prove: Angle B is congruent to Angle C

Answers

Answer:

See Explanation

Step-by-step explanation:

[tex] In \: \odot M, \: \overline{MA} \: bisects \: \overline {BC}\\... (given) \\\\

\therefore \overline{MN} \: bisects \: \overline {BC}\\... (\because B-N-C) \\\\

\therefore BN \cong NC... (1)\\\\

In\: \triangle BMN \:\&\:\triangle CMN\\\\

BM\cong CM\\ (radii \: of \: same \: circle) \\\\

MN\cong MN\\ (common \:side) \\\\

BN \cong NC\\ (from\:1)\\\\

\triangle BMN \:\cong\:\triangle CMN\\.. (by\: SSS\: postulate) \\\\

\therefore \angle B\cong \angle C.. (CACT) [/tex]

Create three different expressions that are each equal to 20. Each expression should include only these three numbers:

4
-2
10

Answers

First expression: 10-4(4/(-2))+2 = 20
Second expression: 10x4-10x(-2) = 20
Third expression: 10-4(-2)+2 = 20

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The three expressions that use only 4, -2, and 10 and that are equal to 20 are:

4 x 2 - (-2) + 10

4 x 10 + (-2) x 10

-2 x (-2) + 4x4

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

We have,

20

The three expressions that are equal to 20 using only 4, -2, and 10 are:

First expression:

4 x 2 - (-2) + 10

= 8 - (-2) + 10

= 8 + 2 + 10

= 20

Second expression:

4 x 10 + (-2) x 10

= 40 - 20

= 20

Third expression:

-2 x (-2) + 4x4

= 4 + 16

= 20

Thus,

The three expressions that use only 4, -2, and 10 and that are equal to 20 are:

4 x 2 - (-2) + 10

4 x 10 + (-2) x 10

-2 x (-2) + 4x4

Learn more about expressions here:

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Angle pair equations!! 10 points :)

Answers

Answer:

78°

Step-by-step explanation:

(I'm assuming that segment AB is a straight line {180 degrees})

1. since angles DCA and DCB equals 180°, we can set up the equation 4x+2+3x+3=180.

2. if you solve that, you'll get x=25.

3. plug 25 (x) into 3x+3 -> 3(25)+3

4. 3(25)+3=78

5. answer: 78°

78 degree is your answer

Evaluate the expression.


[tex]-82^{2}[/tex]=

Answers

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[tex] - {82}^{2} = - (80 + 2)(80 + 2) = \\ [/tex]

[tex] - ( \: (6400) + (160 \times 2) +( 4) \: ) = \\ [/tex]

[tex] - (6400 + 320 + 4) = - (6724) = - 6724 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] ({ - 82})^{2} = {82}^{2} = + 6724 [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

-3(4x + 9) = 15
Please help

Answers

Answer:

x=-7/2

Good luck!

HURRRY PLZ lets GO CHECK PROFILE I WILL GIVE I BRAINLY

Answers

Answer:

[tex]\angle AFY=140^\circ[/tex]

[tex]\angle LIM=117^\circ[/tex]

Step-by-step explanation:

The sum of interior angles of a polygon of n sides is:

[tex]S=180^\circ (n-2)[/tex]

The image shows a 6-side polygon. The sum of the interior angles is:

[tex]S=180^\circ (6-2)=720^\circ[/tex]

The sum of all the shown interior angles must equal 900°:

[tex]125+100+y+117+121+y+23=720[/tex]

Simplifying:

[tex]486+2y=720[/tex]

Solving:

[tex]2y=720-486[/tex]

[tex]2y=234[/tex]

[tex]y=234 / 2=117[/tex]

y=117°

Thus the angle AFY is:

[tex]\angle AFY=y+23=117+23=140[/tex]

[tex]\boxed{\angle AFY=140^\circ}[/tex]

[tex]\angle LIM=y=117[/tex]

[tex]\boxed{\angle LIM=117^\circ}[/tex]

Beth wants to paint the four walls of her rectangular bedroom. Her room is 10 feet wide, 13 feet long, and 8 feet high. She will not paint her rectangular door, which is 3 feet wide and 7 feet high. What is the total area of the walls that Beth needs to paint?

A. 347 square feet

B. 368 square feet

C.578 square feet

D. 1019 square feet

E. 1040 square feet​

Answers

Answer:

D; 1019 square feet

Step-by-step explanation:

10 x 13 x 8 = 1040 square feet

3 x 7 = 21 square feet

1040 - 21 = 1019 square feet (:

Answer:

10x13 is 130

130x8 is 1040

Step-by-step explanation:

question in the image

Answers

Answer 6.

Step-by-step explanation:

Answer:

A.) 1

Step-by-step explanation:

A trapezoid only has one pair of parallel sides.

Dante and Erica just returned from a comic bookstore that sells new and used comic books.
Dante spend $10.25 on 2 new and 3 old books, and Erica spend 13.75 on 10 used and 3 new
ones. Which system of equations can be used to find how much the new and old books costs?

Answers

So I’m sole but this is by far

what is the answer for-4(2x+y)​

Answers

Answer:

-8x-4y

Step-by-step explanation:

distrubutive property

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3. You bake 12 oatmeal cookies. How many chocolate chip cookies do you bake

Answers

Answer:

4:3

8:6

12:9

you will bake 9 chocolate chip cookies.

I will bake 16 chocolate chip cookies for every 12 oatmeal cookies I bake.

What is a ratio?

A ratio is a comparison of two or more similar quantities in simplest form.

a/b can be written as a : b.

Given,  The ratio of chocolate chip cookies to oatmeal cookies is 4 : 3, which is 4/3, and assuming for 12 oatmeal cookies I bake x chocolate chip cookies.

∴ 4/3 = 12/x.

x = 12×4/3.

x = 4×4.

x = 16.

learn more about ratios here :

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Which one of the following equations is equivalent to 3x-12 = -9?
A 3 - 5 = -6
B 70 - 3=4
2x = 4
D 2+3 = 2 - 1

Answers

the answer choices don't make sense but I can help u with solving the equation it's x = 1

3x-12=-9 , minus 12 on both sides3x = 3 , divide 3 on both sides x = 1

now that u know this go through your answer choices and solve their equation and see which one produces x = 1 and that'll be the answer!!

Please help
8 square root 5 minus square root 45

Answers

Answer:

[tex]5 \sqrt{5 \: } is \: \: the \: \: answer \: \: of \: \: this \: \: question[/tex]

So, I have a question if anyone can answer soon.

The question: Jill jumped 6 1/3 feet in the long jump. Jill’s best friend jump 6 5/7 feet. How much farther did Jill’s best friend jump?

Now I know the answer is 8/21 but every-time I look up the decimal it’s like 0.3823. But, the next question that talked about if she jumped more than 6.5 feet then the seventh graders get fifty points. Now, I have tried to look up the answer cause I though I was missing something and it all has said the best friend jumped more than 6.5. How? If the decimal was like 0.3823.

Answers

Answer:

You're right must be a different problem

Step-by-step explanation:

You know this, but just to verify:

1. Find Common Denominator:

6 15/21 - 6 7/21

2. Subtract

6 15/21 - 6 7/21 = 8/21 feet

4 -4
Which one is truth

Answers

Answer:

4

Step-by-step explanation:

Answer:

nothing is true

cuz 4-4=0

Step-by-step explanation:

please mark as the brainliest

Eagletrons are all electric cars produced by Mogul motors. One of the concernsof Mogul is that the Eagletrons be capable of achieving appropriate maximumspeeds. To monitor this, Mogul executives take samples of 8 Eagletrons at atime. For each sample, they determine the average maximum speed and the rangeof the maximum speeds within the sample. They repeat this with 35 samples toobtain 35 sample means and 35 ranges. They find that the average sample mean is88.50 mph and the average range is 3.25 mph. Using these results, theexecutives decide to establish an R chart. They would like this chart to beestablished so that when it shows that the range of a sample is not within thecontrol limits, there is only approximately a .0027 probability that this is dueto natural variation. What will the upper control limit (UCL) and the lowercontrol limit (LCL) in this chart?

Trying to confirm that what I came up with is correct.

Answers

Answer:

upper control limit  = 6.058

lower control limit =  0.442

Step-by-step explanation:

Given that:

The numbers of sample n Mogul executives took = 8 Eagletrons at a time.

They find out that the average  sample mean is 88.50 mph and;

the average range [tex]\overline r[/tex] is 3.25 mph.

From the tables:

[tex]\text {Table values for n = 8 } \left \{ {{D_4=1.864} \atop {D_3=0.136}} \right.[/tex]

Control Limit = [tex]\overline r[/tex]  = 3.25

Therefore; the upper control limit and the lower control limit can be computed as follows:

upper control limit  = [tex]D_4 \overline r[/tex]

upper control limit  = 1.864(3.25)

upper control limit  = 6.058

lower control limit = [tex]D_3 \overline r[/tex]

lower control limit =  0.136(3.25)

lower control limit =  0.442

what is 5280 divided by 60

Answers

Answer:

88

Step-by-step explanation:

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

sin(–60°)
cos(–60°)
cos(60°)
sin(60°)

Answers

Answer:

A. sin(-60°)

Step-by-step explanation:

test on edge

Answer of given expression is sin(-60°)

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given expression,

sin(20°)cos(80°) – cos(20°)sin(80°)

sin(A-B) = sinA.cosB – cosA.sinB

∴ sin(20°-80°)

So, sin(-60°)

Learn more about Trigonometric functions

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