Which equation represents the line that passes through points (1,-5) and (3, -17)?
y=-6x+1
Oy - 6x + 1
y=-6x-1
O y=x-1



Need ASAP!!

Answers

Answer 1

Answer:

The equation y = -6x + 1 represents the line ⇒ A

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points lie on the line

∵ The line passes through points (1, -5) and (3, -17)

x1 = 1 and y1 = -5

x2 = 3 and y2 = -17

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-17--5}{3-1}[/tex] = [tex]\frac{-17+5}{2}[/tex] = [tex]\frac{-12}{2}[/tex] = -6

m = -6

→ Substitute it in the form of the equation above

y = -6x + b

→ To find b substitute x by 1 and y by -5 in the equation

∵ -5 = -6(1) + b

∴ -5 = -6 + b

→ Add 6 to both sides

1 = b

→ Substitute it in the equation

y = -6x + 1

The equation y = -6x + 1 represents the line


Related Questions

Find the slope of the line without graphing using the 2 points below.



(-3 , 4) & (13 , 8)



m = _______

Answers

Answer:

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (8 - 4)/(13 -(-3))

3. 4/16

4. m = 1/4

toby has $13 to buy t-shirts for his bowling team. Each t-shirt costs $4. How many t-shirts can he buy?

Answers

Answer:

3

Step-by-step explanation:

13 ÷ 4 = 3.25

but you wont by .25 of a shirt so he can only buy 3 shirts

He can buy 3 shirts

Find the equation that represnts the graph.​

Answers

Slope: rise/run
3/3 = 1
(0, 3) so y intercept is 3
Final equation: y = x + 3

Answer:y=x+3

Step-by-step explanation:

What is the equation of the line in slope-intercept form?

Answers

Answer:

y = 4/3 + 4

Step-by-step explanation:

4/3 comes from using rise over run. 4 comes from the y-intercept.

Answer:

y = [tex]\frac{4}{3}[/tex] x + 4

Step-by-step explanation:

y = mx + b

m = [tex]\frac{rise}{run}[/tex] ; "b" is y-intercept

~~~~~~~~~~~

m = [tex]\frac{4}{3}[/tex] and b = 4

y = [tex]\frac{4}{3}[/tex] x + 4

the first blank is 25 the second blank is 10 what is the slope​

Answers

Answer:

5/2

Step-by-step explanation:

25 and 10 so 25/10 or 5/2 or 2 1/2

Dominic is cutting a rectangular hole in his paper, from top left corner to the bottom right corner. The rectangle will be 4.5 cm long and 3.5 cm wide. which of the following is closest to the distance between the corners of the rectangle?

Answers

Answer:

Step-by-step explanation:

So initially you have a square piece of metal, 15" x 15". You cut out squares from the corners of each side with side length x.

 

So you'll have a sheet that looks something like this now (assuming the formatting works):

 

   _____

__|       |__

|               |

|__        __|

   |____|

 

Your original side length was 15, but it has now been reduced by x on each side, so you're now going to have a new side length of 15 - 2x

 

When you fold the box up, the box will have a height of just x.

 

So you have a base with lengths (15 - 2x) and (15 - 2x), and a height which is just x.

 

V = l*w*h

 

So

 

V = (15 - 2x)(15 - 2x)(x)

 

= 225x - 60x^2 + 4x^3

 

Hope this helps

a regular pentagon and an equilateral triangle have the same perimeter...........
(Please don't answer with anything that doesn't relate to it, such as no mimicking please i beg you)
I only have 1 hour before class help please

Answers

Answer:

Option 4: 45 units is the correct answer

Step-by-step explanation:

Let [tex]P_1[/tex] be the perimeter of Pentagon and

Let P2 be the perimeter of Triangle

So,

[tex]P_1 = 5(\frac{1}{2}x-1)\\P_2 = 3(x-5)[/tex]

In order to find the perimeter of each figure we have to put both the expressions equal so that the value of x can be found and then perimeter.

So,

[tex]P_1 = P_2\\5(\frac{1}{2}x-1) = 3(x-5)\\\frac{5}{2}x-5 = 3x-15\\\frac{5}{2}x-3x = -15+5\\\frac{5x-6x}{2} = -10\\-\frac{x}{2} = -10\\-x = -10 * 2\\-x = -20\\x = 20[/tex]

Putting x = 20 in 2nd perimeter

[tex]P_2 = 3(x-5) \\= 3(20-5)\\= 3(15)\\=45[/tex]

As both the perimeters are same, the perimeter of pentagon will also be 45 units.

Hence,

Option 4: 45 units is the correct answer

Felix deposited $1,340 into a savings account that earns 6% simple interest for 3 years. Find how much interest will he have earned.

Answers

Answer:

542

Step-by-step explanation:

divide it I hope it helps

Answer:

241.20 dollars

Step-by-step explanation:

Use the equation I=prt, where I is the interest and p is the percentage of simple interest, which is 6% or 0.06. T is the rate of time in years. R is the amount Felix deposited. Our equation would be:

I=(0.06)(1340)(3)

I=(0.18)(1340)

I=$241.20

When you flip a biased coin the probability of getting a tail is 0.35.
Find the probability of getting a head.

Answers

Answer:

0.65

Step-by-step explanation:

a coin has 2 sides so there is two outcomes

1-0.35=0.65

BRIANLY I NEED HELP PLS THE RIGHT ANSWER ASP !PLS

Answers

Answer:c

Step-by-step explanation:

math

The product of 5 and a number x is 1/4 What is the value of x?
x=19/4
x=1/20
x =5/4
x =4 3/4​

Answers

Answer:

x=19/4

Step-by-step explanation:

The product of 5 and a number x is 1/4

PLEASE HELP MEH!!!!!!!!!:

Answers

Answer:

A

Step-by-step explanation:

Point slope form

x, y

[tex](y-x)= (slope)(x-y)[/tex]

So its

[tex]y-6=\frac{1}{2}(x+3)[/tex]

So option 1.

Hope this helps plz hit the crown :D

Answer:

B

Step-by-step explanation:

y=mx +b

y= 1/2x = b

y intercept (0,-6)

Determine the input UNITS of ITEM and the output UNITS of ITEM for the statement

below:

It is a lovely time of year on the Serengeti Desert. Every time Simba washes his clothes,

he has to use 1 capful of detergent for each load of wash.

Answers

Answer:

For statement 1 :

INPUT UNIT OF ITEM : Time of the year on Serengeti Desert

OUTPUT UNIT OF ITEM : Simba washes his clothes

For statement 2

INPUT UNIT OF ITEM : 1 capful of detergent

OUTPUT UNIT OF ITEM : each load of wash

Step-by-step explanation:

For statement 1 :

INPUT UNIT OF ITEM : Time of the year on Serengeti Desert

OUTPUT UNIT OF ITEM : Simba washes his clothes

For statement 2

INPUT UNIT OF ITEM : 1 capful of detergent

OUTPUT UNIT OF ITEM : each load of wash

From answers provided above the basis for the answers is that an input unit of item will have to result to a reaction which is an output unit of item hence the answers above

given f(x) = 4+1 , describe how the graph of g compares with compares with the graph of f?

Answers

I think you wrote an incomplete question. With a little research, I was able to find a question similar to you which is attached below. So, I would solve your question based on the question attached below, which anyways would clear your concept.

Answer:

[tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.

Step-by-step explanation:

Considering the complete question attached below

Given the function

[tex]f\left(x\right)\:=\:4x+1[/tex]

As for [tex]g(x)=f(x-h)[/tex], the graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated right h units when '[tex]h[/tex]' is greater than zero, and left | [tex]h[/tex] | units when h is lesser than zero.

so it is clear if  

[tex]g(x)=4(x+3)+1[/tex] and [tex]f\left(x\right)\:=\:4x+1[/tex], then [tex]g(x) = f(x+3)[/tex].

Hence, [tex]h = -4[/tex] ( lesser than zero i.e. h < 0).

Therefore, [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.

The school track is 7/8 of a mile in length. Den ran 1/4 of a mile. How much more will he need to run to go all the way around the track?

Answers

Answer:

5/8

Step-by-step explanation:

1/4=2/8

7/8-2/8=5/8

can someone please help me​

Answers

Answer:

a=5

Step-by-step explanation:

18-2a=8

-18     -18

-2a=-10

/-2  /-2

a=5

PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.

Answers

i’m pretty sure the answer is B

Answer:

option D is the answer

Step-by-step explanation:

3n + 5

_______

n² + 5

How can I get better at math so I don't flunk?

Answers

Answer:My suggestion is practice what you learned after each class for like 10-20 min and pay close attention in class. Wish you the best of luck.

Step-by-step explanation:

PLEASE HELP ME WITH MY MATHE HOMEWORK!

Answers

Answer:

59/6

Step-by-step explanation:

9x6=54

54+5= 59

put the denominator of the fraction to the denominator to the new fraction. I hope this helps.

Please help! It's about systems of equations. Answer correctly i will mark brainliest

Answers

Answer:

Step-by-step explanation:

Y= -6

X=-2

Which is the graph of f(x) = x2 – 2x + 3?

Answers

Answer:

The correct answer is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Step-by-step explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

Answer:

It's the first graph :D

Step-by-step explanation: hope it helps ^w^

What is the slope of the line below

Answers

Answer:-1/2

Step-by-step explanation:

Look at the points

102 is 0.6% of what number

Answers

102 is 60% 170. Divide 102 by 0.6, which results in 102. Hope this helps! Have an amazing rest of your day and please mark brainliest! xx

25 points if you answer. Martin Rode his bike 3 2/3 miles in 16 1/2 minutes. Assume he wrote the same speed the entire time. How fast did he ride in miles per minute?

Answers

Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

[tex]Speed = \frac{distance}{time}[/tex]

Let s be the speed, d be the distance and t be the time then

[tex]s = \frac{d}{t}[/tex]

Given

[tex]d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes[/tex]

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

[tex]s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}[/tex]

Hence,

The speed is 2/9 miles per minute

There are 625 students at Median middle school. If 8% of the students were absent on Tuesday , how many students were absent?

Answers

625/8
=78.12
X100
=7,812

If 8% of students were absent on Tuesday no. of students that were absent was 50.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, There are 625 students at Median middle school and 8% of the students were absent on Tuesday.

∴ No. of students that were absent on Tuesday is 8% of 625 which is,

= (8/100)×625.

= 50.

Learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Sove the equation for all real solutions
-d^2-12d+4=-6d^2​

Answers

Answer:

d=25 or d=2

Step-by-step explanation:

hope that helps!

Answer:

d=2/5 or d=2

Step-by-step explanation:

Step 1: Subtract -6d^2 from both sides.

−d2−12d+4−−6d2=−6d2−−6d2

5d2−12d+4=0

Step 2: Factor left side of equation.

(5d−2)(d−2)=0

Step 3: Set factors equal to 0.

5d−2=0 or d−2=0

d= 2/5 or d=2

a rectangular garage has a volume of 480m^3, with a length of 12m and the width 8m.

Answers

Answer:

5 m

Step-by-step explanation:

V = l × w × h

480 = 12 × 8 × h

h = 480 ÷ 96 = 5 m

Answer:

5m

Step-by-step explanation:

Well volume is V=Bh. So you do 12 times 8= 96 thats your base. So you need to them do 480 divided by 96 which equals 5 so therefore 5 is your answer. Also just to make sure that's the right answer, do 12 times 8 times 5. That equals 480.

Find the missing terms in each geometric sequence.

1. 3, 12, 48 __, __

2. __, __, 32, 64, 128, ...

3. 120, 60, 30, __, __

4. 5, __, 20, 40, __, __

5. __, 4, 12, 36, __, __​

Answers

1. 192, 768 ( it was times 4 )
2. 8, 16 (it was adding the number together 8+8)
3. 15, 7.5 ( it was half of the number)
4. 10, 80, 160 ( times 2 )
5. .75, 108, 324 ( times 4 )

Hope this helped! Lmk if you need more help!


The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of
a right cylinder that has the same base and height as the cone?

Answers

Answer:

900 cubic inches.

Step-by-step explanation:

Given the following data

Volume of right circular cone = 300in³

We know that the volume of a right circular cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of right circular cone.r is the radius of the base of the right circular cone.h is the height of the right circular cone.

The volume of a right circular cylinder is given by the formula;

[tex] V = \pi r^{2}h[/tex]

Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.

[tex] V = \frac{1}{3} \pi r^{2}h * 3[/tex]

Substituting into the equation, we have;

V = 300 * 3

V = 900in³

Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.

i am a real number

i am a rational number

i am not a natural number

i am less than -13

what number am i?

Answers

Answer:Any number less than -13.

Step-by-step explanation:

If the number is real and rational and non-natural, this means that it can be any number in the negative number space.

Additionally, since the number has to be less than -13, then the number could be any number less than -13.

With all these things considered, the number is any number less than -13 that is real and rational.

Cheers.

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