Which equation represents the line that passes through the points (-3;7) and (9,-1)

Answers

Answer 1

Answer:

[tex]y = - \frac{2}{3} x + 5[/tex]

Step-by-step explanation:

[tex]y = mx + b[/tex]

finding the slope m of the line using the above points

[tex] m = \frac{y2 - y1}{x2 - x1} = \\ \frac{ - 1 - 7}{9 - - 3} = \frac{ - 8}{9 + 3} = - \frac{8}{12} = - \frac{2}{3} [/tex]

substitute the slope and one of the points into the y-intercept form to solve for b

[tex]y = mx + b \\ 7 = - \frac{2}{3} ( - 3) + b \\ 7 = \frac{6}{3} + b \\ 7 - 2 = b \\ b = 5[/tex]

therefore the answer to the question is

[tex]y = - \frac{2}{3} x + 5[/tex]

Which Equation Represents The Line That Passes Through The Points (-3;7) And (9,-1)

Related Questions

What is the area of parallelogram ABCD?
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Mark this and return

Answers

Answer:

Uh, there's a format error, can you add a photo?

Step-by-step explanation:

The area of the parallelogram is given by the distance formula and the value of A = 13 square units

What is the distance between two points?

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the parallelogram be ABCD

Let the height of the parallelogram be AD

And , the base of the parallelogram be DC

where the area A = AD x DC

Now , the coordinates of A = A ( 3 , 6 )

The coordinates of D = ( 2 , 2 )

The coordinates of C = C ( 5 , 1 )

The distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

So , the distance of AD = √ ( ( 3 - 2 )² + ( 6 - 2 )² )

The distance of AD = height of parallelogram AD = √17

And , the distance of DC = √ ( ( 2 - 5 )² + ( 2 - 1 )² )

So , the distance of DC = width of parallelogram DC = √10

And , area of parallelogram A = AD x DC = √17 x √10 = √170 units²

Hence , the area of parallelogram is A = 13 square units

To learn more about distance between 2 points click :

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The complete question is attached below :

What is the area of parallelogram ABCD?

13 square units

14 square units

15 square units

16 square units

You run 6 miles in one hour and 12 miles in two hours.
a. 2 miles per hour
b. 6 miles
c. 6 miles per hour
d. 2 hours​

Answers

If you run 12 miles in 2 hours then it would be 6 miles per hour!
12/2 = 6

i need help asap pls answer

Answers

Answer:

D

I feel the graph speaks for itself. Hope I helped! :)

what’s the value of x

Answers

Answer:

52

Step-by-step explanation:

180-72=108

180-108-20=52

Lea bought 225 flowers and 12 vases she put about the same number of flowers in each vase which is the best estimate for the number of flowers in each vase

Answers

Answer:

18.75 or around 19

Step-by-step explanation:

You simply divide 225 by 12 and get 18.75.

If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces below (figure not drawn to scale). Don't forget to include units in your answer!

Answers

Answer:

x = -3

a) 6 ft

b) 7 ft

c) 9 ft

d) 11 ft

e) 5 ft

f) 14 ft

Step-by-step explanation:

set up the equation

-2x + 4 - x +x +12 + 3x + 20 + 2x + 11 + 7x + 35 = 52

combine like terms

10x + 82 = 52

single out the variable

10x = -30

x = -3

substitute x in all the following equations

a)  -2(-3) = 6

b)  4 - -3 = 7

c)  -3 + 12 = 9

d)  3(-3) + 20 = 11

e)  2(-3) + 11 = 5

f)  7(-3) + 35 = 14

have a lovely day <3

in a class of 37 students, 24 study history, 15 study Geography and 6 other study neither History nor Geography. find how many students study both history and Geography brainly

Answers

Answer: 16

Step-by-step explanation: your welcome

Answer:

39

Step-by-step explanation:

15 students study Geography and 24 study history.

15+24=39

8 1/2- 1 1/4? Show work

Answers

Answer:

[tex]7\frac{1}{4}[/tex]

Step-by-step explanation:

Change to improper fraction.

[tex]8\frac{1}{2}[/tex] ⇒ [tex]\frac{17}{2}[/tex]

[tex]1\frac{1}{4}[/tex] ⇒ [tex]\frac{5}{4}[/tex]

Find the least common denominator (LCD) of the two fractions. ⇒ 4

[tex]\frac{34}{4}[/tex] - [tex]\frac{5}{4}[/tex] = [tex]\frac{29}{4}[/tex]

Convert to a mixed number.

[tex]\frac{29}{4}[/tex] ⇒ [tex]7\frac{1}{4}[/tex]

Hence, [tex]8\frac{1}{2} - 1\frac{1}{4} = 7\frac{1}{4}[/tex]

(On Emma's last paycheck, she earned 15.5% commission on her sales of $10,500 for the month. What is the commission earned? Round to the nearest cent.

Answers

Answer:

Emma earned 1627.5

Step-by-step explanation:

Answer:

$1,627.50 in commission earned

Step-by-step explanation:

Convert 15.5% to a decimal.

10500 x 0.155

Multiply  10500 by 0.155

1627.5


hey anyone wanna check my answer(s)??

Answers

7/24 is the answer it’s basic math

LM and N O are parallel lines what therom can we prove by translating the plane along the directed line segment M N?

Choose 1 answer:
When a traversal crosses parellel lines, alternate interior angles are congruent
When a transversal crosses any two lines, corresponding angles are congruent.

When a transversal crosses parallel lines, corresponding angles are congruent

When a transversal crosses any two lines, alternate interior angles are congruent.

Answers

Answer:

When a transversal crosses parallel lines, corresponding angles are congruent.

Step-by-step explanation:

When a transversal crosses parallel lines, corresponding angles are congruent can be used to prove that LM and NO are parallel lines

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.

If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Hence, When a transversal crosses parallel lines, corresponding angles are congruent can be used to prove that LM and NO are parallel lines

Find out more on angle at: https://brainly.com/question/25716982

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Write the equation of the line that passes through the given points (0,-4) and (-7,-10

Answers

Step 1: Find the slope

Point 1 = (0, -4)

Point 2 = (-7, -10)

m = (-10 - - 4) / (-7 - 0) = (-10 + 4) / (-7 - 0) = -6 / -7 = 6/7

m = 6/7

Step 2: Find the y-intercept

Slope-Intercept Form: y = mx + b

-m is the slope

-b is the y-intercept

---Plug in any of the given points as well as the slope into slope-intercept form and solve for b

Point: (-7, -10)

-10 = (6/7)(-7) + b

-10 = -6 + b

b = -4

Step 3: Form the equation

Slope-Intercept Form: y = mx + b

m = 6/7

b = -4

y = 6/7x - 4

Hope this helps!! :)

The velocity-time graph for a cycle is shown

Answers

Answer:

a) 100m

b) 2m/s

Step-by-step explanation:

a)==>> 2+4+6+8+10(8) = 100m

b)==>> Variable "a" = change OVER time ([tex]\frac{change}{time}[/tex]) = 8m/4s = 2m/s

Trước Chiến tranh thế giới thứ hai, các nước Đông Nam Á đều là thuộc địa của các nước đế quốc, ngoại trừ

Answers

Answer:

ko nhầm thì là Thái Lan ...... đúng là Thái Lan

Mark is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 12 inches × 13 1/3 inches. He needs to cut another rectangle that is 10 1/4 inches x 10 1/3 inches
How many total square inches of construction paper does Mark need for his project?
PLS I NEED TO GO TO SCHOOL PLS

Answers

Answer: 265.9167 square inches (rounded)

Step-by-step explanation:

Shoot, okay if this is wrong, shame on me:

All you do is find the areas of each rectangle and add them together.

(12 × 13 1/3) + (10 1/4 x 10 1/3) = 265.9167 (rounded) square inches. Or as a fraction: 3191/12

If ∆ABC is an isosceles triangle and angle B = 65° . What is X?
a) 70°
b) 60°
c) 50°


Ps: If you can send the working Please thank you

Answers

Answer:

60° option b) is the answer

4
= 5
Find the x-intercept and y-intercept of the line.
4x + 5y = -20
-intercent:
10

Answers

Answer:

y-intercept is (0, -4)

x-intercept is (-5, 0)

Step-by-step explanation:

Remember the x-intercept and the y-intercept are the points on the graph where the line crosses the x-axis and the y-axis respectively.

We can find the x intercept and the y intercept a couple of ways. One way is to graph the line, which I will do later. The other way is to do a little math.

The equation of a line in y-intercept form is

[tex]y = mx + b[/tex]

where b = the y-intercept

In our equation above and solving for y we get the y-intercept is -4

[tex]4x + 5y = - 20 \\ 5y = - 4x - 20 \\ y = - \frac{4}{5} x - 4[/tex]

Doing more algebra and solving for x we get the x intercept is negative 5.

[tex]y = - \frac{4}{5} - 4 \\ y + 4 = - \frac{4}{5} x \\ x = - \frac{5}{4} y - \frac{20}{4 } \\ x = - \frac{5}{4} y - 5[/tex]

Given the equation of a line with a slope of -3 and a y-intercept of -8, find slope-intercept form and standard form of the line.

Answers

Answer:

y = -3x - 8

Step-by-step explanation:

yeah-ya.... right?

There were 9.782 visitors to the park
last month. To the nearest thousand,
about how many people visited the
park last month?

Answers

It should be 10000
So 10000 people visited last month

Can anyone help out with this algebra 1 question? It’s 2 am and I’m just exhausted here man, I’d really appreciate it.

Answers

Answer:

y = 3x/4 + 3

Step-by-step explanation:

y = mx + b

b = 3

(-4,0), (0,3)

m = 3/4

Circle the number in each row that is NOT a perfect square:

please help me!

Answers

Answer:

wdym?

Step-by-step explanation:

Answers:

First row = 3

Second row = 12

===================================================

Explanation:

Think of a square that has sides of 5 by 5. It's area will be 5*5 = 25. That means 25 is a perfect square.

We rule out 81 for similar reasons because 81 = 9*9

Also, 100 = 10*10 and 121 = 11*11

The only thing left is 3 which isn't a perfect square. We cannot multiply two of the same whole number to end up with an area of 3 square units.

Put another way, [tex]\sqrt{3}[/tex] is not a whole number while something like [tex]\sqrt{81} = 9[/tex] is a whole number.

This is all for the first row.

--------------------------

The second row is the same story.

4 = 2*2

9 = 3*3

144 = 12*12

36 = 6*6

This rules out everything but 12 in the second row. You can determine what is a perfect square through trial and error, or by memorizing what the perfect square numbers look like. With enough practice, they should be fairly memorized by some point.

OMGGG I NEED Helppp PLZZZZZ

Answers

Refer to the attachment

-
Is x + 2 a factor of f(x) = x5 – 3x4 - 3x3 + 9x2 - 4x +12?

please help asap

Answers

Answer:

x=-2.01970690

Step-by-step explanation:

Yes it is a factor

Answer:

Yes, x+2 is a factor of f(x)

Step-by-step explanation:

-2 | 1   -3   -3    9   -4    12

   ___-2_ 10_-14_10  -12

     1   -5    7    -5   6  | 0

Since [tex]\frac{x^5-3x^4-3x^3+9x^2-4x+12}{x+2}=x^4-5x^3+7x^2-5x+6[/tex] with no remainder, then x+2 is a factor

A family spent $169 at the movies. Admission tickets cost $12 apiece, and a bucket of popcorn costs $7 which equation written in standard form.



How many buckets of popcorn could be bought if a family buys 7 admission tickets?

Answers

Answer:

12

Step-by-step explanation:

7 (number of tickets) times 12 (cost of ticket) = 84     169 (total spent) - 84 (total ticket price) = 85   85 divided by 7 (price of popcorn) = 12.14 round down as they wouldn't have enough money to buy more than 12 popcorns.

What is the measure of the angle

Answers

What is the measure of an angle?

Answer:

The measure of an angle is made of Two rays.

Step-by-step explanation:

In Geometry, an angle measure can be defined as: the measure of the angle formed by the two rays at a common vertex. Angles are measured in degrees ( °), using a protractor.

I hope this is the answer you were looking for! If you need me to be more specific then tell me how and what!

SOMEONE WHO'S GOOD AT MATH PLEASE ANSWER THIS ASAP TODAY WILL GIVE BRAINLIEST

Answers

Answer:

1-(-9)=10

Step-by-step explanation:

yo i am so tired it 10:06pm where i live and i want to go to sleep and i am still on brianly lol what should so lol help me i am dying

Answers

Answer:

Than just stay on brainly. lol

If you are tired maybe you should rest ^^

12gfdyhgvkjhfvkuhj ,jvhgctkgdcfmtghjm

Answers

Answer:

1/2 POUNDS

Step-by-step explanation:

3/8 - LIGHTEST SQUASH

7/8 - HEAVIEST SQAUSH

SUBTRACT THEM YOU GET 4/8

4/8 SIMPLIFIED IS 1/2

THUS THE SQUASH ARE 1/2 POUND DIFERENCE

Jared has 5 pieces of cake and wants to split them evenly between himself and 5 friends how much will each person and receive​

Answers

Answer:1.2

Step-by-step explanation:

Answer:

5/6 or 0.83

Step-by-step explanation:

there's 5 piece but 6 people. everyone would get less then an equal piece.

5÷6= 0.833333 or in fraction 5/6.

if you divide 6 people and 5 pieces you get 1.2 size piece. that's more then the cake has, which is 5 pieces. That's what I think.

Learning Task 1. Put the decimal point in the correct place. Add zero if needed ​

Answers

Answer:

[tex] 1)\: 3.1160 = 3.116 \\ 2) \: 13.1242 \\ 3) \: 3.5568 \\ 4) \: 0.4000 = 0.4 \\ 5) \: 3.8674[/tex]

I hope I helped you^_^

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