What is the slope of the line that contains these points?
x
-4
1
6
11
y
-3
-2
-1
0

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The slope of the line y = (x/4) - 23/4 is 1/4.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The points,

x → y

-4 → -3

1   →  -2

6 →   -1

11  →   0

From the table, we interpreted 2 points (-4, -3) and (11, 0)

If a line passes through two points (x₁ ,y₁) and (x₂, y₂),

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

m = (0+3) / (11+4)

m = 1/5

So, the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁)  (x - x₁)

y - y₁ =m (x - x₁)

y +3 = (1/4) (x -11)

y = (x / 4) - 11/4 -3

y = (x/4) - 23/4

Therefore, the slope of the line is m = 1/5.

To learn more about the slope;

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Related Questions

Rapid Rental Car charges a $55 rental fee, $20 for gas, and $0.65 per mile driven. For the same car, Capital Cars charges $55 for rental and gas and $0.75 per mile.

Answers

Answer:

200 miles

Step-by-step explanation:

Given data

Rapid Rental Car

charges a $55 rental fee

$20 for gas, and

$0.65 per mile driven

let the number of miles be x, the total charges y

y=55+20+0.65x

y= 75+0.65x----------1

Capital Cars

charges $55 for rental and gas and

$0.75 per mile.

let the number of miles be x, the total charges y

y=55+0.75x

y= 55+0.75x----------2

Required

The number of miles driven before the two Rental companies charge the same amount

equate 1 and 2

75+0.65x= 55+0.75x

collect like terms

75-55= 0.75x-0.65x

20= 0.1x

x= 20/0.1

x= 200miles

Hence the distance will be 200 miles for the charges to be the same

I need help plz this is hard​

Answers

Answer:

99 inches

Step-by-step explanation:

9*11 =99

99 inches cause you multiply 9 and 11 which is the area of the base

Solve. A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 6 mugs with coffee, how many total quarts of coffee does she need?

Answers

Answer: 3 quarts of coffee.

Step-by-step explanation:

A coffee mug can take 16 fluid ounces.

Annie needs to fill up 6 mugs so the total ounces needed for 6 mugs would be:

= 16 * 6

= 96 fluid ounces

As the answer needs to be in quarts, convert the above.

1 quart = 32 fluid ounces

96 fluid ounces = 96/32

= 3 quarts

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=84°, and OP = 2.9 feet. Find the length of PQ to the nearest tenth of a foot.

Answers

Answer:

x=2.8841≈2.9 feet

Step-by-step explanation:

So uh- here we are again

Answers

the correct answer is 1/6

Answer:

1/6

Step-by-step explanation:

When subtracting or adding fractions, you always want the denominator (aka the bottom number of the fraction) to be the same number. Since both of your denominators are both the same, we can subtract!

                                                 2/6 - 1/6 = 1/6

Remember that you don't subtract the bottom, just the top. Hope this helped :)

A new Playstation game system costs $380. The tax on the system is 4%. What is the total cost of the system including tax? *

Answers

Answer:

395.2

Step-by-step explanation:

380 x 0.04 = 15.2

380 + 15.2 = 395.2

Answer:

The cost of the system including the tax is $395.20.

Step-by-step explanation:

If the tax is 4% that means that the total price will equal...

380 + (380)(0.04) = $395.20

Therefore the cost of the system including the tax will be $395.20.

need answer. pls help ​

Answers

Answer: 28 degrees

Step-by-step explanation:

Since angle KJL = LJM then that means angle 7x=3x+16

First we need to solve for x

7x=3x+16

4x=16

x=4

now we can input it into either equation to solve for the angle KJL

7(4)= 28 so the angle is 28 degrees

The diagram shows triangle ABC. Calculate the length of AC

Answers

Given:

In triangle ABC, AB=8.2 cm, C=13.5 cm and angle A= 81 degrees.

To find:

The length of AC.

Solution:

According to the Law of Sines:

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Using Law of Sines, we get

[tex]\dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin C}{8.2}[/tex]

[tex]\dfrac{\sin (81^\circ)\times 8.2}{13.50}=\sin C[/tex]

[tex]\sin^{-1}\dfrac{\sin (81^\circ)\times 8.2}{13.50}= C[/tex]

[tex]C\approx 36.86^\circ[/tex]

Using angle sum property, we get

[tex]\angle A+\angle B+\angle C=180^\circ[/tex]

[tex]81^\circ+\angle B+36.86^\circ=180^\circ[/tex]

[tex] \angle B =180^\circ-81^\circ-36.86^\circ [/tex]

[tex] \angle B =62.14^\circ [/tex]

Now,

[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\dfrac{\sin (81^\circ)}{13.50}=\dfrac{\sin (62.14^\circ)}{b}[/tex]

[tex]b=\dfrac{13.50\times \sin (62.14^\circ)}{\sin (81^\circ)}[/tex]

[tex]b\approx 12.08[/tex]

Therefore, the length of AC is 12.08 cm.

The sum of half a number, n, and 15 is 24. What is the value of the number n? Type your answer in the blank below.

1/2 n + 15 = 24

Answers

An easy way to do this is subtract 15 form 24 which will look like this 1/2n=24-15
Which gets you 1/2n=9
Then you multiply the equation by 2 to get rid of the 1/2 which gets you just N=18

A popular smartphone costs about $357.50 to
make. The company sells the phone at a 64%
markup. What is the sale price for this phone?

Answers

Step-by-step explanation:

first you find 60% of 357.50 which is $214.50. Next you would add $357.50+214.50=572

so the awnser is

the sale price of a popular smart phone is $572.

Hope this helps!!

I need help with this question ​

Answers

what question?????????????????

bae what’s the question

GIVING BRAINLIEST Find the surface area of the net below

Answers

Answer:

119

Step-by-step explanation:

1/2x5x7x4+7x7

can I have the brainliest ?

Answer:

119 m

Step-by-step explanation:

First find the square 7x7 = 49m

Now the triangle [tex]\frac{5 * 7}{2}[/tex] = 17 .5

17.5 * 4 = 70m

70m + 49m = 119m

Which functions are linear Select all that applies A) s=4r - 2 B) s=r + 10 C) s= 9r - 7 D) s=6r + 6

Answers

Step-by-step explanation:

The graph of  linear function is a straight line.

General form of the linear function is -

y = a + bx

where a is the y -intercept and b is the slope.

Both  a and b are constants.

Here,

x is independent variable whereas y is dependent variable.

For example -

y = 2x + 15

HELPP Which equation is related to Vx+10-1-x?
O
x + 10 = x2 + x + 1
O x + 10 = x2 + 2x + 1
O x + 10 = x2 + 1
O x + 10 = x2-1

Answers

Answer:x + 10 = x2 + 2x + 1 x + 10 = x2 + 1 x + 10 = x2 – 1.

Step-by-step explanation:

The solution is, x+10 = x^2 + 2x + 1 is the equation is related to

√x+10  - 1 = x.

What is  simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

the equation is,

√x+10  - 1 = x

or, √x+10 = x+1

now, taking square on both side, we get,

x+10 = (x+1)^2

we have,

(a+b)^2 = a^2 + 2ab + b^2

so, applying that, we get,

x+10 = x^2 + 2x + 1

Hence, The solution is, x+10 = x^2 + 2x + 1 is the equation is related to √x+10  - 1 = x.

To learn more on simplification click:

brainly.com/question/28996879

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A student is solving the equation
4
(
x

5
)
=

6
x

7
+
2
. Which describes a first step the student could use to solve the equation correctly?

Answers

first option.

you should usually distribute first. 4 times x would be 4x, and 4 times -5 is -20.

Answer:

4(x−5)=−6x−7+2

first step open bracket and add or subtract no.

4x-20=-6x-5

put common in each side

4x+6x=-5+20

10x=15

x=15/10=3/2

first one is your answer

Carol sliced a lemon into circular pieces to put in a bowl of punch. The piece above has a radius of 2.5cm.


I’ll get you a lot of points if you answer this!!

Answers

Answer:π(2.5)

Step-by-step explanation:

π(2.5)

find l of the following cone ​

Answers

Answer and Step-by-step explanation:

Pythagorean theorem

Half of 4 is 2.

2^2 + 9^2 = l^2

4 + 81 = l^2

Square root of 85 = l

#teamtrees #PAW (Plant And Water)

Is 5 a solution to 4 + x = 6 ? Why or why not?

Answers

Answer:

no

Step-by-step explanation:

x has to be 2 because 4+2=6

Answer:

no, because 4 + 5 = 9 not 6.

Step-by-step explanation:

the only way for this equation to be true is if x = 2.

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a weird website.​

Answers

Casually puts a link to a weird website..

https://theuselessweb.com

*whistles*

Answer:

there is no solution-

Step-by-step explanation:

there's no solution because its impossible for a to have 2 different values; you see that 0.1 and 0.01 are not equal, therefore a can not be equal,, otherwise the equation would be false

What is the inverse of the function

Answers

Answer:

second option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 9 ( add 9 to both sides

y + 9 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = x + 9

PLEASE HELP NOW!!!!!!!

Answers

Answer: BC

Step-by-step explanation:

I know this because i did this one before your welcome

Evaluate
expression 4+5.23 + 3 =​

Answers

Answer:

12.23

Step-by-step explanation:

4+5.23 = 9.23

9.23 + 3 = 12.23

PLEASE HELP PRE ALGEBRA EASY 10 POINTS

Answers

What I’m support to fine it in the graph or find the slop, solve for x or y???? Put the whole question so I can help you

What is the GCF?
6x² + 24x

Answers

Answer:

6x

6x(x + 4)

Step-by-step explanation:

Both 6x^2 and 24x are divisible by 6x

(20 Points)
y = 4(x + 6)2 + 2
O y = -4x² + 48x + 136
O y = 4x2 + 48x + 146
O y = x² - 48x + 146
O y = -14x2 – 48x – 146

Answers

Answer:

2nd option will be the answer (y=4x²+48x+146)

Step-by-step explanation:

y=4(x+6)²+2

y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]

y=4(x²+12x+36)+2

y=4(x²)+4(12x)+4(36)+2

y=4x²+48x+144+2

y=4x²+48x+146

my question is in the image

Answers

Answer:

13.2 miles

Step-by-step explanation:

To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.

(5.5 + 3.5)² + b² = 15²

9² + b² = 15²

81 + b² = 225

b² = 144

b = 12

Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).

5.5² + 12² = c²

30.25 + 144 = c²

174.25 = c²

13.2 ≈ c

Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.

Plz help i will give

Answers

Answer:

The equation to be used is 4/8 × 8/12=1/3


8. Is the discriminant positive, negative, or zero?

Answers

I think the answer would be negative. I’m sorry if I’m wrong

Answer: its positive !!!

Step-by-step explanation: got it wrong at first:(

For what value of q is the equation -13(q + 4) = 7q + 16

Answers

Answer:

Q = -3.4

Step-by-step explanation:

Our original equation is:       -13(q+4)=7q+16

if we simplify this, we get:     -13q-52=7q+16

Subtract 16 from both sides: -13q-68=7q

Add 13q to both sides to get:      -68=20q

divide the equation to get this:  -3.4=q

Simplify: 4 [ 2+ 1 ( 47 - 5 ) ÷ 7 ]
pls help asap ! ty !

Answers

32 and it would be useful to use pemdas
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