Find the slope of the line that passes through the points (-2, 6) and (9, -5).

Answers

Answer 1

Answer:

slope = -1

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] to find the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, we'll use the points given in the question, (-2,6) and (9, -5). Substitute -2 for [tex]x_1[/tex], 6 for [tex]y_1[/tex], 9 for [tex]x_2[/tex], and -5 for [tex]y_2[/tex]. Then, solve:

[tex]\frac{(-5)-(6)}{(9)-(-2)} \\= \frac{-5-6}{9+2} \\= \frac{-11}{11} \\= -1\\[/tex]

Therefore, the slope is -1.

Answer 2

The slope of the line that passes through the points (-2, 6) and (9, -5) is -1.

What is Slope?

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

Given the coordinates of the two points on the graph is (-2, 6) and (9, -5). Therefore, the slope of the line that passes through this point is,
Slope = [6 - (-5)] / [-2 - 9]

Slope = (11) / (-11)

Slope = -1

Hence, the slope of the line will be -1.

Learn more about Slope of Line here:

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Related Questions

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

What is the sum of the measures of the interior angles of a 7-gon?

Answers

Answer:

900°

Step-by-step explanation:

What is the sum of the measures of the interior angles of a 7-gon?

The formula to measure the interior angles of a polygon

= (n- 2) × 180 °

Where,

n = number of sides

We are given 7 - gon

This means it has 7 sides = Heptagon

Hence,

The measure of the interior angle is given as:

(7 - 2) × 180°

= 5 × 180°

= 900°

The sum of the interior angles of a 7-gon is 900°

a porcupine has a mass of 27 kg. A.
cat has a mass of 6,300 g. Which
animal has the greater mass?

Answers

Answer:

porcupine

Step-by-step explanation:

6300g = 6.3 kg

Step-by-step explanation:

the porcupine has more mass

Write the equation of the line with the given slope and y intercept.
m = 0.25 b = 6

Answers

Answer:

y=−2x+6

Step-by-step explanation:

the equation of a line in slope-intercept form is. y=−2x+6 is the equation.

=2x =6 hope I helped :)

Please answer this question

Answers

Answer:

Properties of operations help a lot in solving problems related to integers and rational numbers. Step-by-step explanation: ... These properties are used to solve problems involving rational numbers as well as integers. These properties are associative,commutative, distributive and identity.

Step-by-step explanation:

pls give me brainliest

please answer this, thank you

Answers

Answer:

3

Step-by-step explanation:

I have showed the steps in the attached image.

what is the geometric mean of 0.5 and 2

Answers

Answer:

5

Step-by-step explanation:

36/42 = 24/r what is r

Answers

Answer:

r=28

Step-by-step explanation:

36/42 = 24/r (determine the defined range)

36/42 = 24/r , r ≠ 0 ( Reduce the fraction)

6/7 = 24/r (cross multiply)

6x = 168 ( divide both sides)

r=28 , r ≠ 0

Answer:

r = 28

Step-by-step explanation:

Cross multiply and solve for r:

[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]

36r = 1008

r = 28

So, r = 28

I need help in geometry urgently!!!

Answers

Answer:

x = 6

Step-by-step explanation:

According to Exterior Angle Property of a triangle , measure of an exterior angle is the sum of its opposite interior angles.

Using the exterior angle property ,

[tex]17x - 23 = 3x + 17 + 8x - 4[/tex]

[tex] = > 17x - 23 = 11x + 13[/tex]

[tex] = > 17x - 13x = 23 + 13[/tex]

[tex] = > 6x = 36[/tex]

[tex] = > x = \frac{36}{6} = 6[/tex]

please someone help me with this question

Answers

Basically something like this

2. William's cell phone bill was $135.65. He had to pay $45 for
the plan and then pay per gigabyte. He used 5 gigabytes. How much
did he pay per gigabyte?

Answers

Answer:

gjkddjygdbdbexbdbdbdheeh$70

Take away the monthly $45 cost of the cell phone plan, and you see that he paid $90.65 for the 5 gigabytes of data that he used...to find what he paid per gigabyte, $90.65 / 5 = $18.13 per gigabyte.

I need help with math work pls explain

Answers

Answer:

0.1 % first question

0 second question

Can somebody please help me this is all I need

Answers

18.45

30

23.4 plz give points

Write an integer (positive or negative whole number) to represent each description.
Integer Vocabulary
The football player had a 5-
yard loss on the play.
17 units to the left of -6 on a number
line.

Answers

Answer:

Football player= -5

Number line= -23

Step-by-step explanation:

Loss means negative

Left on a number line is subtraction

Which of the following is NOT a solution to the system of inequalities?
1. (0, 4)
2. (1, 2)
3. (2, 1)
4. (1, 5)

Answers

Answer:

3. (2, 1)

Step-by-step explanation:

The solutions are the points located inside the shaded region. The only point not located in that region is the point (2, 1). Therefore, (2, 1) is not a solution to the system of inequalities.

1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?

2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?

3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?

Answers

Answer:

1880... good luck.. have a grate day

What is the surface area of this shape?​

Answers

The answer is 67

Add all the sides up and you get 67

In ΔNOP, \overline{NP}
NP
is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}m∠NOP=(3x+8)

, \text{m}\angle PNO = (2x+9)^{\circ}m∠PNO=(2x+9)

, and \text{m}\angle OPQ = (8x-16)^{\circ}m∠OPQ=(8x−16)

. What is the value of x?x?

Answers

Answer:

x=11

Step-by-step explanation:

Using the Exterior Angle Theorem. . .

(3x+8) + (2x+9) = (8x-16)

Solve to get x = 11

Solve for n.
[tex]\frac{2n-3}{5}[/tex]=5

Answers

1.) [tex]\frac{2n-3}{5} = 5[/tex]

/ 5          /5

(2n - 3) = 1

      +3     +3

2n = 4

/2      /2

n = 2    <--- your answer

4 • (6 – 4) 2 ÷ 2
Cary says the value of this expression is 40. Is he right? If not, give the correct answer

ez question, just kinda distracted and need to get by it.

Answers

Answer:

Cary is wrong

Step-by-step explanation:

4* (6-4)= 4* 2=8

I think it is saying (8*2) divided by to, which in that case is 8,

but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)

Answer:

Cary is inncorrect. It is 4.

A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB

Please help
Thank you

Answers

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

[tex]Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)[/tex]

[tex]Midpoint=\left(4,6\right)[/tex]

Therefore, the midpoint of the line AB is (4,6).

What is the answer? Please help

Answers

The answer is 102. Look at the image i out and there’s the steps i took to get my answer .

Which of these factions are greater than 11/20

Answers

So they have certain numbers we have to pick on the question if not then anything higher will do like 12/20

What is one of the greatest problems in Brazil?
O education
O language
O transportation

Answers

ITS EITHER A OR C because its common sense

Answer:

c transportation

Step-by-step explanation:

If the point (4,-2) Is Included in dun
OA. (4,2)
OB. (-4,-2)
OC. 12,-4)
OD. (-2,4)

Answers

The answer is (4,2) because it just is

Pl help it’s for a grade I will give you Brainly if you are right a.0.80 b 1.00 c4.00 d 0.83

Answers

I think it’s c sorry if I’m wrong

How does 10 x (-3)^24 simplify to positive 10 x 3^24 and not negative 10 x 3^24 ?

Answers

Answer:

Below.-

Step-by-step explanation:

Because when a negative is taken to an even power the results is positive.

So (-3)^24 is positive as 24 is even, and is the same as 3^24,  and so the whole expression

10 * (-3)^24 = 10 ^ 3^24.

Pls help :(

Clare and Han are discussing how to find the missing lengths. Clare says she is using similarity. Han says he is using the Pythagorean Theorem.

Find the missing sides

Answers

Answer:

similarity

Step-by-step explanation:

look , dude

the two triangles have the following features:

the angle B= angle C = 90 degree

the angle A= the angle F

so  the third angle in the first triangle = the third angle in the second triangle

so you have one condition of similarity which is the three angles are equal

to get the answer for lengths :

ab/fe= constant of proportionality

thus ab/fe=2.5/5=.5

so ac/13=.5 thus ac=6.5

and 6/de=.5 so de=12

Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.

What are Similar Triangles?

Similar triangles are those triangles which has the same shape but different size.

The length of sides and angles are proportional in similar triangles.

Pythagorean theorem states that for a right angled triangle,

Hypotenuse² = Base² + Altitude²

AC² = BC² + AB²

AC² = 6² + 2.5²

AC² = 42.25

AC = √(42.25) = 6.5

Similarly,

DF² = DE² + EF²

13² = DE² + 5²

DE² = 13² - 5²

DE² = 144

DE = √(144) = 12

If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.

AB / EF = BC / DE = AC / DF

2.5 / 5 = 6 / DE = AC / 13

Consider 2.5 / 5 = 6 / DE

Then DE = (6 × 5) / 2.5 = 12

Consider AB / EF = AC / DF

2.5 / 5 = AC / 13

AC = (2.5 / 5) × 13 = 6.5

Hence the missing lengths are AC = 6.5 and DE = 12.

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Need answer to this question please

Answers

Answer:

33

Step-by-step explanation:

4:7

7+4=11

11 parts

24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

there are 33

33 is a multiple of 11

please give me brainliest!!<3

Answer:

i would go to khan academy and look up the topic your learning about.  I think sal (the creators of the videos) has a video on this!!

Pentagon ABCDE is dilated according to the rule DO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph. On a coordinate plane, pentagon A prime B prime C prime D prime E prime has points (negative 3, 6), (negative 0.5, 8), (2, 6), (1, 3), and (negative 2, 3). What are the coordinates of point A of the pre-image?

Answers

Answer:The coordinates of point A are (-1, 2).

Step-by-step explanation:

Edge

Answer:

-1/2

Step-by-step explanation:

yes

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