Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?

7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1

Answers

Answer 1

Answer:

b

Step-by-step explanation:

edge2020

Answer 2

The equation of the line is 7x+2y = 1

What is an equation of a line?

The equation of a line is linear in the variables x and y which represents the relation between the coordinates of every point (x, y) on the line. i.e., the equation of line is satisfied by all points on it.

Given that a line is passing through two points J(-3, 11) and K(1, -3). we need to find the equation of line JK,

So, we know that the equation of a line passing from two points (x₁, y₁) and (x₂, y₂) is =

y-y₁ = y₂-y₁/x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) = J(-3, 11) and K(1, -3)

Therefore, the equation of the line =

y-11 = -3-11 / 1+3 (x+3)

y-11 = -7/2(x+3)

Multiply by 2,

2y-22 = -7(x+3)

2y-22 = -7x-21

7x+2y = 1

Hence the equation of the line is 7x+2y = 1

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Related Questions

5/6x + 7 = 17 (step by step pls)

Answers

5/6x + 7 = 17

Subtract 7 from both sides:

5/6x = 10

Divide both sides by 5/6:

X = 10/ 5/6

When dividing a number by a fraction flip

The fraction over and multiply:

X = 10 x 6/5

Simplify

X = (10x6)/5

X = 60/5

X = 12

The answer is x = 12

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]\frac{5}{6}x + 7 = 17[/tex]

-Subtract both sides by [tex]7[/tex]:

[tex]\frac{5}{6}x + 7 - 7 = 17 - 7[/tex]

[tex]\frac{5}{6}x = 10[/tex]

-Multiply both sides by [tex]\frac{6}{5}[/tex], which is the reciprocal of [tex]\frac{5}{6}[/tex]:

[tex]x = 10 \times (\frac{6}{5})[/tex]

[tex]x = \frac{10 \times 6}{5}[/tex]

[tex]x = \frac{60}{5}[/tex]

-Divide [tex]60[/tex] by [tex]5[/tex]:

[tex]x = \frac{60}{5}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].


Use multiplication to write 2 + 2 + 2 +
2+2.

Answers

2 x 5
2+2+2+2+2= 10
2 x 5= 10

Answer:

5 × 2

Step-by-step explanation:

Multiplication is a simpler way of writing 'adding the same number multiple times'

Here you have added 5 2s together

So the answer is 5 times 2

This size running track is usually called a 400-meter track. However, if a person ran as close to the "inside" as possible on the track, they would run less than 400 meters in one lap. How far away (in meters) from the inside border would someone have to run to make one lap equal exactly 400 meters?

Answers

Answer:

They would have to be in the very center of the track

Step-by-step explanation:

Look up how wide each lane of a track is and then times that by 2.5

Please Help will give Brainliest!!

Answers

Answer:

98 degrees .............

Explain why thirteen
hundredths are equivalent to one hundred
thirty thousandths. pls help i’m so dumb

Answers

Answer:

thirteen hundredths=13/100

one hundred thirty thousandths=130/1000

cancelling by 10 this is =13/100

hence the question

Step-by-step explanation:

13/100 is equivalent to 130/1000 because if you simplify 130/1000 it becomes 13/100.

You simplify 130/1000 by dividing both sides by 10. 130 divided by 10 is 13, and 1000 divided by 10 is 100.

POSSIBLE POINTS: 4 The length of a rectangle is 4 inches more than the width. The area of the rectangle is 45 in2 Find the length and the width.​

Answers

Answer:

x (x + 4) = 45

x^2 + 4x - 45 = 0

factor

(x + 9)(x - 5) = 0

x = -9 or 5

 

your length cannot be negative so x= 5 and x+4 =9

Step-by-step explanation:

Hope this answer is Wright

The women's world record for the high jump is 2.09 meters. A puma can jump 2.2 times as high. What
is the height a puma can jump?

Answers

Answer:

4.598 meters

Step-by-step explanation:

........

Help Asap! Use the triangle sum theorem to solve for x in the triangle.

Answers

x+53+90+46 = 180 because the sum of all the interior angles of a triangle are always 180 degrees

x+189 = 180 here this proves that in this problem, x is negative

subtract 189 from both sides

x = -9 and that's your answer! hope this helps!

x- 0.1x + 2.70 = 56.70 solve for the answer

Answers

Answer:

x=60

Step-by-step explanation:

over the summer, you read 20 books. Eight of these books were biographies

Answers

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20}*\frac{100}{1}\\ 8*5=40[/tex]

Can someone help me pless I will mark brainliest of the brains

Answers

Answer:

6.83 repeated so ≈(about)7 miles in 41 minutes 10 miles in an hour

Step-by-step explanation:

if u need me to elaborate i can please give me brainliest

For which intervals is the function increasing? Select each correct answer.

Answers

Answer:

The answer is (2, ∞).

Step-by-step explanation:

The answer is (2, ∞) because both sides of the line will never meet and will forever increase on the [tex]y-axis^{}[/tex].

For (2, ∞)  intervals is the function increasing in the graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A function is increasing on an interval if for every point on that interval the first derivative is positive.

So we need to find the first derivative and then plug in the endpoints of our interval.

For interval (2, ∞) the function is increasing because both sides of the line will never meet and will forever increase on the y axis.

Hence, for (2, ∞)  intervals is the function increasing in the graph.

To learn more on Graph click:

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Order from least to greatest: 6 squared, -5.25, 3/2 , 5

Answers

Answer:

-5.25, 3/2, 5, 36

simplify the expressions
1.) 6(–2y) – 9 + 4(–2y + 6)
2.) 5(b – 4) + 12

Answers

Step-by-step explanation:

1) -12y -9 -8y +24= -20y +15

2) 5b -20 +12= 5b-8

Answer:

1. -20y-3.    2. 5b-8

Step-by-step explanation:

1. -12y-9-8y+6

-20y-3

2. 5b-20+12

5b-8

a = 11m, b = 8m and C = 2m for the triangle shown below.
Work out the value of x, giving your answer as an exact surd.
The diagram is not drawn accurately

Answers

Answer:

x = [tex]\sqrt{53}[/tex]

Step-by-step explanation:

Using Pythagoras' identity on the upper right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let the third side be d, then

d² + b² = a² , that is

d² + 8² = 11²

d² + 64 = 121 ( subtract 64 from both sides )

d² = 57

Using Pythagoras' identity on the lower right triangle, then

x² + c² = d²

x² + 2² = 57

x² + 4 = 57 ( subtract 4 from both sides )

x² = 53 ( take the square root of both sides )

x = [tex]\sqrt{53}[/tex]

A caterer charges $120 for 15 people to cater a party and $7 per person after that.
Assume that the cost, y, is a linear function of the number of x people. Write an
equation in slope-intercept form for this function.

Answers

Answer

120=7x+15

Step-by-step explanation:

Answer:

We are given table for the prices for two different catering companies.

Company Initial Payment           Rate Per Employee

________________________________________

$135                                         $12

       $0                                           $15

We know, slope-intercept form of a linear equation:

y= mx+ b.

Where m is the slope ( Rate Per Employee with respect to the problem) and b is the y-intercept (Company Initial Payment).

Plugging m= 12 and b= 135 in slope-intercept form y=mx+b to get first equation.

y = 12x +135.

Plugging m= 15 and b= 0 in slope-intercept form y=mx+b to get second equation.

y = 15x + 0 or y = 15x.

Therefore, system of equations or Devoted Catering are

y = 12x +135.

y = 15x .

Step-by-step explanation:

SIMPLIFY THIS EXPRESSION:
2(z + 3) + 3(5 - 3z)

Answers

2z+6+15-9z
-7z+21

Hope this helps

Seven less than the product of a number and -4 is 41

Answers

the unknown number is -12, 41+7=48  

48/-4=-12

Please help guys and i will return the favor. ❤️

Answers

Answer:

(2,5), (2,2), (4,1)

Step-by-step explanation:

ok so the coordinates of the first triangle is

(-4,5), (-4,2), (-2,1)

6 units to the right

(2,5), (2,2), (4,1)

pls awnser tis question

Answers

Grade four is the answer

Answer:

It's grade 4! :)

Step-by-step explanation:

Geometry
Please help me with my homework! Thank you!

Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

Write 04 as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

The midpoint of AB is M(0, -3). If the coordinates of A are (2, 1), what are the
coordinates of B?

Answers

Answer:

(-2,-7)

Step-by-step explanation:

The science club and the French club both ordered pizzas for their end-of-year banquets. After the banquets, the science club had 1 1/4 pizzas leftover and the French club had 2 5/24 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 23/24

B. 1 1/4

C. 3 1/4

D. 3 11/24

Answers

Answer:

A. 23/24

Hope this helped

Step-by-step explanation:

Answer:

A. 23/24

Step-by-step explanation:

plato users

Need help please!!!!

Answers

Given : A inequality is given to us . The inequality is 19 ≥ t + 18 ≥ 11 .

To Find : The correct option between the given ones . To write the compound inequality with integers .

Solution : The given inequality to us is 19 ≥ t + 18 ≥ 11 . Let's simplify them seperately .

[tex]\red{\tt Case\:1}[/tex]

⇒ 19 ≥ t + 18 .

⇒ t + 18 ≤ 19 .

⇒ t ≤ 19 - 18 .

t 1 = 1 t . ..................(i)

[tex]\red{\tt Case\:2}[/tex]

⇒ t + 18 ≥ 11 .

⇒ t ≥ 11 - 18.

t -7 . ....................(ii)

On combing (i) & (ii) .

[tex]\Large\boxed{\green{\bf \red{\longmapsto} 1 \geqslant t \geqslant -7 }}[/tex]

This means that t is less than or equal to 1 but greater than or equal to (-7) .

Prove angle FGH is congruent to angle HIF.


A.
1) Given
2) Given
3) Reflexive property of congruency
4) SAS
B.
1) Given
2) Reflexive property of congruency
3) Given
4) AAS
C.
1) Given
2) Reflexive property of congruency
3) Given
4) SSA
D.
There is not enough information to prove the triangles congruent.

Answers

Answer: someone please answer :(((

Step-by-step explanation:

Dante uses 15 J of work to lift a weight for 3 seconds. How much power did he use?

PLZ HELP ME ASAP
AND SHOW YOU WORKING OUT : )

Answers

Answer:

You have to ethier add or subtract to get your answer

Kevin is tiling his bathroom. The floor is 6-by-5 feet, minus a 2-by-2.5-feet vanity. The tiles he likes are 1-by-1 foot. If he plans to buy 10 percent extra for waste, how many tiles will he need?

Answers

Answer:

try quizlet it would help!! :)

Step-by-step explanation:

if it does help your welcome

hope you find it

and wish u luck

PLZZZ HELPPP MEEE ASAPPPP

Answers

Answer:

5 - 900

4.5 - 810

3 - 540

2.25 - 405

Step-by-step explanation:

5 x 180 = 900

4.5 x 180 = 810

3 x 180 =540

2.25 x 180 = 405

What is the value of m? help asap​

Answers

Answer:

35

Step-by-step explanation:

It is a 90 degree angle and 90 minus 44 is 35

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