(2, 1), (0, -7)
Write an equation of the line that passes through the given points

Answers

Answer 1

Answer:

y=4x-7

Step-by-step explanation:

We know that the y intercept is -7 so we can have y=mx-7

And we can get the slope by using the slope formula (y2-y1)/(x2-x1)=m

(2,1) (0,-7)

x1 y1 x2 y2

(-7-1)/(0-2)

-8/-2 = 4

m=4

So just plug it into the equation to get:

y=4x-7

Answer 2

Answer:

y = 4x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the t- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-1}{0-2}[/tex] = [tex]\frac{-8}{-2}[/tex] = 4

The line crosses the y- axis at (0, - 7) ⇒ c = - 7

y = 4x - 7 ← equation of line


Related Questions

Convert 150 degrees to radians

Answers

Answer:

it would be 5pi/6 radians

Step-by-step explanation:

Answer:

[tex]\frac{5\pi }{6\\}[/tex]

Step-by-step explanation:

to convert degrees to radians, use the equation [tex]\frac{\pi }{180\\}[/tex]. then simplify

150*[tex]\frac{\pi }{180\\}[/tex]=[tex]\frac{150\pi }{180\\\\}[/tex]=[tex]\frac{5\pi }{6\\}[/tex]

-8-x=x - 4x
How do I solve this

Answers

1. subtract 4x to x then uu would get -3x
2. add x on the left to the -3x on the right
3. then divide 8 by 2
4. get the answer X = 4

How do I get the fractional form for cos 4π/3?

Answers

Answer:

[tex] - \frac{1}{2} [/tex]

Step-by-step explanation:

cos

(

π

+

π

3

)

=

cos

π

cos

(

π

3

)

sin

π

sin

(

π

3

)

=

(

1

)

(

1

2

)

(

0

)

(

3

2

)

=

1

2

The answer is -1/2 !!!

please help me thanks

Answers

Answer:

It is 61 degress an acute angle.

Step-by-step explanation:

Find the value of x. Then, find the measure of RQ. mRP mZRPO = (5x + 15) Given: = (9x + 17), mPQ = (6x - 12), 9x + 17 6x - 12 5x + 15

Answers

Answer:

the first one in your life with my name in your company is in fact the

Zach needs a new pair of running shoes.The pair that he wants regularly sells for $129.If they are on sale for 24% off,how much will he pay in total if sales tax is 6.4%?

Answers

Answer:

$104.31

Step-by-step explanation:

First let's calculate the sale price of the shoes. If they are 24% off, that means they will be worth 76% of the initial price. So, we can multiply 76% by 129 to find the sale price:

129 * 0.76 = 98.04

The sale price is $98.04. To find the value of the sales tax, multiply the sale price by the percentage of the sales tax:

98.04 * 0.064 = 6.27456

The sales tax rounds to 6.27. Finally, to find the total price, add the value of the sales tax to the sale price:

98.04 + 6.27 = 104.31

The total price Zach will pay is $104.31.

Hope this helps :)

3x+4y=8 please solve for Y

Answers

Answer:

(8-3x)/4

Step-by-step explanation:

3x+4y=8

4y=8-3x

y=(8-3x)/4

So the answer is (8-3x)/4

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

Mark and his 3 friends are out at Applebee's. Their bill totaled $52.35. If they left the server a 20% tip, how much would each person pay splitting the bill evenly

Answers

27.92 each person would have to pay

TWO MOVES TO FIT IN THE CLEAR SHAPE

Answers

Answer:

Answer:Move right twice

GEOMETRY QUESTION, HELP PLEASEEE.

Answers

Answer:

The pre-image C is (2, 5)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° clockwise, then its image is (y, -x)If the point (x, y) rotated about the origin by angle 180° clockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° clockwise, then its image is (-y, x)

∵ Point C was rotated 270° clockwise around the origin

C' = (-5, 2)

→ By using the 3rd rule above

∵ The image of the point (x, y) is (-y, x)

∴ (-y, x) = (-5, 2)

→ That means -y = -5 and x = 2

x = 2

∴ -y = -5

→ Divide both sides by -1

y = 5

The pre-image C = (2, 5)

True or false is a relation in which each y value has only 1 x value

Answers

Answer:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

Step-by-step explanation:

The statement is true that a function is a relation in which each y value has ONLY 1 x value.

The reason is very clear that we can not have the repeated x-values (two same x-values).

For example, given the set of the ordered pairs of a relation

{(3, a), (6, b), (6, c)}

As the same x values (x=6) has two different Y values. Hence, the stated relation is not a function.

In order to be a function, a relation must have only 1 x-value for each y-value.

Therefore, the statement is true that a function is a relation in which each y value has ONLY 1 x value.

Alex ran 1600 m at a rate of 6.4 m/s.

For how many seconds did he run?

Answers

Answer:

250

Step-by-step explanation:

1600/6.4

A group of friends receives a dinner bill for $87.50. The sales tax rate is 5%. They want to leave a 15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?

Answers

Answer:

105 total

Step-by-step explanation:

Answer:

$105.66 is your answer.

A kangaroo can jump at a speed of 40 miles per hour. Which representation shows the distance a kangaroo can jump at this rate?

Answers

Answer:

y=40x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Which of the following finds T given I, P and R

Answers

Answer:

D. T= I/PR

Step-by-step explanation:

PRT are multiplyed so you divide PR to get T by itself.



Solve for x ?
I don’t understand this

Answers

it’s A
this is my explanation

Select from the drop-down menus to correctly complete the sentence

Answers

9514 1404 393

Answer:

  factors: (x +5) and (2x -1)

  zeros: -5 and 1/2

Step-by-step explanation:

The factorization can be aided by considering the factors of ac=2·(-5) that have a sum of b=9.

  -10 = -1×10 = -2×5

The sums of these factors are ...

  -1+10 = 9 (the pair we want), and -2+5 = 3

This means we can rewrite the function as ...

  g(x) = 2x² +10x -x -5

and factor by grouping.

  g(x) = (2x² +10x) -(x +5)

  g(x) = 2x(x +5) -1(x +5) = (2x -1)(x +5)

The factors of g(x) are (x +5) and (2x -1).

__

The zeros of the function are the values of x that make these factors be zero.

  x+5 = 0   ⇒   x = -5

  2x -1 = 0   ⇒   2x = 1   ⇒   x = 1/2

Liberty bought a make-your-own salad when she went out to lunch at a restaurant. The salad cost $4, plus $0.85 for each salad topping. Liberty spent $9.95 on the salad. Which equation can be used to find t, the number of toppings that Liberty ordered on her salad

Answers

I believe you answer would be $4 + $0.85t =$9.95

Answer:

7

Step-by-step explanation:

c = $0.85t+$4

$9.95 = $0.85t+$4

$9.95-$4 = $0.85t

$5.95 = $0.85t

$5.95/$0.85 = t

7 = t

I’ll give brainliest if someone can explain that answer

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

To solve -3 = -19 + , what steps would you use?


_________19


___________ 5

Answers

Answer:

16

Step-by-step explanation:

you need to first find out what number goes behind -19 and to do this you have to do -19 plus 16 because this equals -3 now your done

plz help me with this

Answers

Answer:

slope:3

y intercept:1

equation:y=3x+1

Step-by-step explanation:

Please simplify: 5(2n + 7)

Answers

10n + 35 is the answer
5(2n+7)

So, you have to multiply 5 with all the numbers that are inside the parentheses. First, 5•2n is 10n and than 5•7 is 37. And the final answer is 10n+35. That’s the final answer. You don’t need to add 10n and 35 because 10 have a (n) a letter and 35 doesn’t, it’s different. :) hope you understand.



A new Youth Sports Center is being built in Pagosa Springs. The perimeter of the rectangular playing field is 236 yards. The length of the field is 2 yards less than

double the width. What are the dimensions of the playing field?

The width is yards

The length is yards.

Answers

Answer:

Width = 40 yards ; length = 78 yards

Step-by-step explanation:

Recall :

Perimeter of rectangle : 2 (length + Width)

Given that :

Perimeter = 236 yards

Let length = l ; width = w

Length = (2w) - 2

Hence ;

236 = 2[(2w - 2) + w]

236 = 2(2w - 2 + w)

236 = 2(3w - 2)

236 = 6w - 4

236 + 4 = 6w

240 = 6w

w = 240/6

w = 40 yards

Length = 2(40) - 2 = 80 - 2 = 78 yards

4 Abi is going to buy ingredients to make 65 hot chocolate drinks.
She needs 12 g of chocolate powder and 5 marshmallows to make each drink
Abi can buy
chocolate powder in 250 g jars at £2.99 per jar
marshmallows in bags of 120 marshmallows at £1.45 per bag
Work out the total cost of the chocolate powder and the marshmallows she needs to buy.

Answers

Answer:

To make 65 chocolate drinks, she needs:

12 g of chocolate powder and 5 marshmallows per drink.

Then she needs:

12g*65 = 780 grams of chocolate powder.

We know that the chocolate powder comes in jars of 250g, such that each one costs £2.99

If she buys 3 jars, she will have: 3*250g = 750g

So she will not have enough, then she needs to buy 4 jars.

Then in chocolate powder, she will pay 4 times £2.99 = £11.96

And for marshmallows, she needs:

65*5 = 325 in total.

Marshmallows come in bags of 120, then the number of packs that Abi needs to buy is:

325/120 = 2.7

That should be rounded up (because she can not buy a 0.7 of a bag)

Then she needs 3 bags, and each bag costs £1.45

Then the total cost in marshmallows is 3*£1.45  = £4.35

A kayak is marked down 25% at academy. If it’s regular cost was $550, what’s the sales price?

PLEASE BE CORRECT

Answers

Answer:

$412.50

Step-by-step explanation:

[tex]550(1 - .25) = 550(.75) = 412.50 \\ [/tex]

During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.

Answers

Answer: Marcus is correct.

i got it right on Edge2020

Step-by-step explanation:

Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.

Marcus's claim is correct.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

Read more about transformation at:

https://brainly.com/question/4539110

Taylor says ABCD and EFGH are congruent because he can map ABCD to EFGH by multiplying each side length by 1.5 and translating the result to coincide with EFGH. What is Taylor's error?

Answers

Answer:

The E came before H

Step-by-step explanation:

A bicycle rider rode her bike 8 1/4 miles on Monday. Yesterday, she rode 6 3/8 miles. The difference in length between the two rides is what fraction of the longer ride? Part B. What distance did she ride if she biked 2 2/11 times her distance on Monday? Explain your response.

Answers

Answer:

oof good luck tho let me know the answer

Step-by-step explanation:

If you understand similar figures you will get this because I don't

Answers

Answer:

I think its 3 but im not sure

Step-by-step explanation:

2x-1 you would do the opposite so you would add 1 to both sides. That would cancel the -1. Which leaves you with 3x

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