What is the equation of the line that passes through the points (4, 5) and (7, 3)

Answers

Answer 1

Answer:

y = -2/3x + 23/3

Step-by-step explanation:

Let equation of the line be y = mx + c

m = (3-5)/(7-4) = -2/3 gradient/slope formula

sub (4, 5)

5 = -2/3 (4) + c

c = 23/3

therefore, equation of the line is y = -2/3x + 23/3

Hope it helps! :)

This is a topic called coordinate geometry. If you would like to find out more you can follow learntionary on instagram. I'll be posting some notes on coordinate geometry soon and I'll also post other useful math stuff as well :)


Related Questions

Perform the indicated operations:
-1
4
-4
4
-4
-1
6
-7
-4
-7
-4
2R2 + R3 R3
-4
6
2
-4
8
2
6
-4
30

Answers

Answer:

Step-by-step explanation:

The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].

What is Matrix?

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]

and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]

and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

Hence, resulting matrix

[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

To learn more on matrix click:

brainly.com/question/30646566

#SPJ7

PLS , help me asap :(( , im so frustrated , idk how to do these :c

Answers

Answer:

y intercept = 5

Step-by-step explanation:

In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.

Answer:

Step-by-step explanation:

i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest

Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(

Answers

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

what is 4/7 in the lowest terms

Answers

Answer:

4/7 is already in lowest terms

For f(x) = -x + 8, which statement is true?

Answers

The answer is B I took the test

Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis

Answers

Answer D is correct

Help me with the geometry work

Answers

Answer:

Step-by-step explanation:

The thing you have to realize is that the diagonals of a parallelogram bisect each other. So  DF = BF. With that fact, you get

4y + 19 = 10y - 11               Add 11 to both sides

4y+19+11 = 10y-11+11          Combine

4y + 30 = 10y                    Subtract 4y

4y-4y +30 = 10y - 4y        Combine

30 = 6y                             Divide by 6

y = 30/6

y = 5

HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10

Answers

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10

don't guess!! pls help!!
THERE'S 4 IMAGES.

Answers

Answer:

pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2

Step-by-step explanation:

3x²+5x-10=0 find the values of a,b and c​

Answers

Answer:

a = 3

b = 5

c = -10

Step-by-step explanation:

ax^2+bx+c

What is the solution of the equation modeled below?

Answers

Answer:

3x+4=7x-8

Step-by-step explanation:

hoped it helped..

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Answers

Answer:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Step-by-step explanation:

Two students used different methods to measure the length of their model bridge

project. One student measured the bridge length in feet using 11n−2.9. The second

student measured the bridge length in feet using 5n + 6.4 What is the value of n if

the two measurements are equal?

Solve the equation. Determine the number of solution. -8(x - 3) = -8x-24
No solution
O One solution
0 Infinitely many solutions

Answers

The answer is no solution

If 7^9/7^n = 7^3, then n is___.
12
01
-3
3

Answers

Answer: 6, but it isn't in your answer choices

Step-by-step explanation: When dividing exponents with the same base, subtract the bottom exponent from the top. In this case, you get 3 from subtracting n from 9, so n should be 6

Write the number 76,689 in expanded form

Answers

(70,000) (6,000) (8,000) (80) (9)

Tell me a fun fact about horses will give BRAINLIEST to whoever tells me something I don’t know (I have been riding for 12 years) so I know a lot of things (also don’t tell me they can sleep standing up I already know that it’s kinda obvious)

Answers

Here are a few fun facts:

A 19th century horse named 'Old Billy' is said to have lived 62 years.

Horses can sleep both lying down and standing up.

Horses can run shortly after birth.

Horses have around 205 bones in their skeleton.

Horses have been domesticated for over 5000 years.

Horses use their ears, eyes and nostrils to express their mood.

Because horse’s eyes are on the side of their head they are capable of seeing nearly 360 degrees at one time.

The fastest recorded sprinting speed of a horse was 88 kph (55 mph). Most gallop at around 44 kph or 27 mph.

The Przewalski’s horse is the only truly wild horse species still in existence. The only wild population is in Mongolia. There are however numerous populations across the world of feral horses e.g. mustangs in North America.

I hope you learned something new!

Click the picture link below for the problem!
THANKS

Answers

Answer:

2

Step-by-step explanation:

The slope of the line is equal to 2. The slope of a line is rise over run, or change in y over change in x. From one point to another on this line y increases by 2 and x increases by 1, which would be 2/1 or just 2. This slope or any other slope greater than 1 or less than -1 makes the line steeper. Another way to find slope is through the slope formula which is [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex], to use this plug in any two points and solve.

Answer:

The slope is a 2/1 slope.

Step-by-step explanation:

If you look at the slope and pick 2 points, let's say (1,1) and (2,3)

find the difference between the two points by y2-y1/x2-x1

The equation would be 3-1/2-1

The answer to the slope would be 2/1.

what is the x variable and y variable? ​

Answers

Answer:

x is the hours worked and y is the money earned

Step-by-step explanation:

Usually the x variable is the independent variable

The independent variable is the variable that does not rely on anything

The y variable is the dependent variable

The dependent variable is the variable that relies on the independent variable

In this case the money earned depends on how many hours you work for

I hope this helps :)

Answer:

I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

0.6 meters per minute
1.67 meters per minute
600 meters per minute
6,000 meters per minute

Answers

Answer:

6,000 meters per minute

Step-by-step explanation:

Answer:

D. 6,000 meters per minute

Step-by-step explanation:

It's right on edg 2020

hope it helps (;

Have a good day and good luck !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

-10-2r=-3r-7+r how many solutions does this equation have will mark brainlest

Answers

Answer:

no solution

Step-by-step explanation:

‼️Help please‼️
A tank full of water is leaking at a constant rate for 30 minutes. The equation y= -7x + 300 gives the amount of water in the tank, where y is the number of liters and x is the number of minutes since the tank began to leak. Which statement is true?

Answers

Answer: A

The answer should be A. you probably answered the questoion alr so sorry if you got it wrong

Step-by-step explanation:

it should be A because its not C and D, and B doesnt make sense because it never mentioned anything about 20 minutes.

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

Terry has $5.79 to go shopping Which mixed number below is the fraction equivalent to $5.79? 500 a 5 79/100 b. 5 79/1000 57 9/100 d 57 9/10​

Answers

Answer:

579/100 is the same if u turned it into a decimal it would be 5.79

Step-by-step explanation:

you would do 579 divided by 100 and that will give you 5.79  

Answer:

the answer is 579/100

Step-by-step explanation:

What is the answer to each problem? Please hurry :)

I will give Brainlest to whoever answers correctly, thank you.

Answers

Answer:

Step-by-step explanation:

Clue #6 is -5/4 (first option)

Clue #7 is 1/8 (second option)

Clue #8 is -7/6 (first option)

Clue #9 is -10/7 (last option)

Clue #10 is 10 (last option)

plz help


Simplify:
- 1.2+15.45

Answers

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

Please help look at the picture

Answers

Answer:

The correct answer would be D

Triangles ABC and DEF are similar. Find e.

A.) 11
B.) 12
C.) 10
D.) 9

Answers

Answer:

C) 10

Step-by-step explanation:

The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.

Hope this helps you :)

The answer is C.10 (:

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

9 is 39

x/6+12=(-12). solve for x

Answers

If 6 is the denominator of the first part of the equation then x=-144

Answer:

x=-144

Step-by-step explanation:

[tex]\frac{x}{6} +12=-12[/tex] subtract 12 on both sides

[tex]\frac{x}{6}=-24[/tex] multiply by six

x=-144

a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width of the actual park in yards

Answers

Answer:

I think the width would be 150 yd

Step-by-step explanation:

just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side

Help I’ll mark you brainly!
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