Consider the line that passes through each pair of given points, and decide what type of slope the line has.
(2, 4) and (5, 1)
undefined slope
(3,5) and (-1,2)
negative slope
(-7, 8) and (-7,0)
positive slope
(6.-3) and (4, -3)
zero slope

Answers

Answer 1

Answer:

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero

Step-by-step explanation:

Slope is defined as the steepness of a line.

Slope is denoted by m and the formula for calculating slope is:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here

(x1,y1) and (x2,y2) are coordinates of the points through which the line passes

Now,

For (2, 4) and (5, 1):

[tex]m = \frac{1-4}{5-2} = \frac{-3}{3} =-1[/tex]

NEGATIVE

For (3,5) and (-1,2)

[tex]m = \frac{2-5}{-1-3} = \frac{-3}{-4} = \frac{3}{4}[/tex]

POSITIVE

For (-7, 8) and (-7,0)

[tex]m = \frac{0-8}{-7+7} = \frac{-8}{0}[/tex]

UNDEFINED

For (6.-3) and (4, -3)

[tex]m=\frac{-3+3}{4-6} = \frac{0}{-2} = 0[/tex]

ZERO

Hence,

The slope of line through (2, 4) and (5, 1) is Negative

The slope of line through (3,5) and (-1,2) is Positive

The slope of line through (-7, 8) and (-7,0) is Undefined

The slope of line through (6.-3) and (4, -3) is Zero


Related Questions

A store buys a camera for $80 and decides to markup the price 35%. How much does the camera sell for?

Answers

Answer:

The camera is sold for $ 59.26.

Step-by-step explanation:

From the statement we understand that the new price of the camera ([tex]C'[/tex]) is calculated by:

[tex]C' = \frac{C_{o}}{\left(1+\frac{r}{100} \right)}[/tex] (1)

Where:

[tex]C'[/tex] - Price after increase, measured in US dollars.

[tex]r[/tex] - Increase rate, expressed in percentage.

If we know that [tex]C_{o} = 80\,USD[/tex] and [tex]r = 35[/tex], then the new price of the camera is:

[tex]C' = \frac{80\,USD}{1+\frac{35}{100} }[/tex]

[tex]C' = 59.26\,USD[/tex]

The camera is sold for $ 59.26.

Write an equivalent expression using the commutative property of multiplication.
5 x (2 x 6) =

Answers

Answer:

2 x (5 x 6)

Step-by-step explanation:

When you switch the order around this way it comes out the same

5 x (2 x 6) -> 5 x (12) -> 60

2 x (5 x 6) -> 2 x (30)-> 60

A decrease of 250 attendees

Answers

Answer:

-250 attendees or you owe 250 attendees

Step-by-step explanation:

Decrease means negative or subtracting of something.

So a decrease of 250 attendees is -250  

What is an equation of the line that passes through the point (6, 7) and is parallel to
the line 2x - 3y = 9?

Answers

Answer:

Step-by-step explanation:

If it is parallel with the line 2x-3y=9

Both of them have same slope so

2x-3y=9 turn this into slope intercept form first

-3y=9-2x

Y=9/-3 + -2x/-3

Y=2/3x - 3 the slope of this equation is ⅔

So our new equation will be

Y=⅔x +b

Since (6,7)

On the line

6=⅔(7)+b

b= 6-14/3=4/3

Y=⅔x+4/3 (slope intercept form)

3y-2x=4 ( general equation of line )

The equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19

The equation of a line in point slope form is expressed as

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is the point on the line.

Given the equation 2x - 3y = 9

Rewrite in standard form y = mx + b

-3y = -2x + 9

y = 2/3 x - 3

Compared with the standard, the slope of the line is 2/3

Substitute the slope and the point into the point slope equation.

y - 7 = 2/3 (x - 6)

3(y-7) = 2(x-6)

3y - 21 = 2x - 2

3y - 2x = 19

Hence the equation of the line that passes through the point (6, 7) and is parallel to the line 2x - 3y = 9 is 3y -2x = 19

Learn more here: https://brainly.com/question/21800256


A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

Answers

the answer is 6

your welcome!

lol

Answer:

6

Step-by-step explanation:

(●'◡'●)

what is 2x + y = -14 in slope intercept form?

Answers

Answer:

 y = -2x - 14

Step-by-step explanation:

Slope intercept form: y = mx + b

2x + y = - 14

      y = -2x - 14

The graph below shows the hours students spent studying and their language arts test scores.

Hours Spent Studying vs. Language Arts Test Scores
A graph has hours spent studying on the x-axis and language arts test scores on the y-axis. A line goes through points (2.5, 60) and (5, 80).

Based on trend line on the graph, what is the expected test score for a student who did not study?
0.5
8
40
45

Answers

Answer:

cccc

Step-by-step explanation:

it is correct on edge

The expected test score for a student who did not study is 40.

Option C is the correct answer.

We have,

Given that the line on the graph passes through the points (2.5, 60) and (5, 80), we can use this information to estimate the expected test score for a student who did not study.

Let's calculate the slope of the line using the two given points:

Slope = (change in y)/(change in x)

= (80 - 60)/(5 - 2.5)

= 20/2.5

= 8

The slope of the line is 8, which indicates that for every additional hour spent studying, the test score increases by 8 points.

Since we are looking for the expected test score for a student who did not study (0 hours spent studying), we can substitute x = 0 into the equation of the line to find the corresponding y value (test score).

y = mx + b (where m is the slope and b is the y-intercept)

Using the given points, we can find the y-intercept (b) by substituting one of the points into the equation:

60 = 8(2.5) + b

60 = 20 + b

b = 60 - 20

b = 40

The equation of the line is y = 8x + 40.

Now, substitute x = 0 into the equation to find the expected test score:

y = 8(0) + 40

y = 0 + 40

y = 40

Thus,

The expected test score for a student who did not study is 40.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ2

pls help me with the question?​

Answers

Answer:

17 I'm pretty sure.

Step-by-step explanation:

please help. image below

Answers

the answer is c .............

Your realized income is $2,085.44, and your fixed expenses are 30%. You want to save 6 months’ worth in an emergency fund. If you only want to put 50% of your discretionary monies toward the emergency fund each month, how many months will it take to fully fund it, excluding interest accrual? (Note: Round up to the next whole month.) 4 months 6 months 10 months 11 months

Answers

Answer:

Answer is wrong

Step-by-step explanation:

Couldn't tell you how to get the answer I just know that when I got this answer wrong it told me the right answer.

In fact, most of the answers for this portion are wrong on here.

10.  $1,201.33

11.  $629.23

12. $7.74

13. $347.51

14. $3,753.78

15. 6

16. $25.24

17. $416.70

18. $2,903.67

19. $22.96

What are the solutions to the following system?
-2x²+y=-5
y=-3x2+

Answers

Answer:

Simplifying

y = -0.4 + 0.6x

Step-by-step explanation:

(GIVING BRAINLIEST!!)

Describe an example of how gravity acts on a falling object and one way an object can overcome gravity.

Answers

Answer:

when you drop a pencil it will fall to the ground when you are in space if you drop a pencil than if will float

Step-by-step explanation:

Having trouble finding Z.

Answers

115 because 115 plus 65 is equal to the measure of 180 degrees, which is the amount of degrees formed by a single, straight, line. Try not to overthink it :)

z would be 115. you know that one angle is 65, so you'd subract 65 from 180, leaving you with an answer of 115. please mark brainliest and have a great day.

The table below shows the U.S. average life expectancy at birth, in years,
in various decades.
Years since
1930
Life
Expectancy at
Birth
10
62.9
68.2
20
69.7
30
70.8
40
73.7
50
75.4
60
77.0
70
80
78.7
Us

Answers

Answer:

the answer is c

Step-by-step explanation:

because all the other ones are wrong besides d and c and I did the math and it was c

Answer:the answer is d

Step-by-step explanation:

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

Molly had 6 or 33% robins in her yard. Does she need to find a percent, part or whole

Answers

Answer:eita moçaa

Stedssfsdsvbg´xclmvb´zdmfbhd

da

what does 3000+1000=

Answers

Wouldn’t it be 4000?
Yes It would be 4000

What does acosd mean?​

Answers

Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:

−5 −4 −3 −2 −1
0
1
2
3 4
5
Copyright © by Savvas Learning Company LLC. All Rights Reserved. 7
Name
Reteach to Build
Understanding
1-3
If you are adding two positive integers, the sum will be positive.
3 + 5 = 8
If you are adding two negative integers, the sum will be negative.
-3 + (-5) = -8
If you are adding a negative integer and a positive integer, find the difference of the
absolute values. The sum will have the sign of the addend with the greater absolute value.
-3 + 5 = 2
-3 6
5 , so the sum is positive.
Paula dives into a swimming pool from a diving board 2 feet above the
water’s surface. She descends to a depth 7 feet below the diving board.
How far is Paula from the surface of the water?
1. What integer represents Paula’s starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula’s distance below
the water’s surface.
4. On the number line below, the arrow represents Paula’s starting
height above the water. Draw an arrow to represent Paula’s dive
into the water. Where does your arrow end?

Answers

Answer: /21/7/3

Step-by-step explanation:

The speed limit is 35 mph

Which equation represents the statement?

[tex]a. \: s < 35[/tex]
[tex]b. \: s \leqslant 35[/tex]
[tex]c. \: s > 35[/tex]
[tex]d. \: s \geqslant 35[/tex]

Answers

Answer:

[tex] b.~~s \le 35 [/tex]

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

[tex] s \le 35 [/tex]

6, b = 3 and c = 2:
2(a + b) – c = ______

Answers

Answer:

16

Step-by-step explanation:

2(6 + 3)-2

2x6=12 and 2x3=6

(12+6)-2

12+6=18

18-2=

16

solve
[tex] \frac{3x + 4}{2} = 9.5[/tex]

Answers

Answer: 5

Step by step:

(3x+4)/2 = 9.5
3x+4 = 9.5*2
3x+4 = 19
3x = 19 -4
3x = 15
x = 5

What is the mode for the set of data? 6,7,10,12,12,13

10
12
13
11

Answers

12
because it is the only number that appears more than once which is basically the definition of mode.

Danny took a math test and got 35 correct and 10 incorrect answers. What was the percentage of the correct answers? (Round your answer the the nearest hundredth)

A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number)

Answers

Answer:

1. 78%

2. 16

Step-by-step explanation:

35 + 10 = 45

Danny got 35/45 answers correct.

Divide 35 into 45

35 ÷ 45 = .777777778

.777777778 ≈ .78

To convert a decimal to a percentage, move the decimal point two spaces behind.

.78 = 78%

Danny got 78% of the answers correct.

80% = .8 = [tex]\frac{8}{10}[/tex]

Multiply [tex]\frac{8}{10}[/tex] by 20 to get the answer

[tex]\frac{8}{10}[/tex] × [tex]\frac{20}{1}[/tex] = [tex]\frac{160}{10}[/tex]

Simplify

[tex]\frac{160}{10}[/tex] = 16

The angle that is an alternate interior angle with angle 1 is angle ?

Answers

Answer:

the alternate angle is angle 2

Answer:

2

Step-by-step explanation:

Alternate interior angles are two angles that are on opposite sides of the transverse and on the inner (interior) side of the two parallels.

Pine trees and juniper trees are common to the San Bernardino

mountains. Pine trees have a mean height of 52 meters with a

standard deviation of 3 meters. Juniper trees have a mean

height of 22 meters with a standard deviation of 5 meters.

(a) At the base of a trail, there is a 48-meter-tall pine tree and a

33-meter-tall juniper tree. Calculate the Z-score for each of

these trees.

If necessary, round your answers to the nearest 2 decimal

places. Write both answers in the text box below.

Answers

Answer:

Z-score = 0.9450

Step-by-step explanation:

Step(i):-

 mean height of pine tree (x₁⁻) = 52

standard deviation of pine tree σ₁ = 3

Mean height of Jupiter tree ((x₂⁻) = 22

standard deviation of Jupiter tree  σ₂ = 5

Size of first sample n₁ = 48

size of second sample n₂ = 33

Step(ii):-

Z-score

               [tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{S.D^{2} }{n_{1} }+\frac{S.D^{2} }{n_{2} }} }[/tex]

              [tex]Z = \frac{52 -22 }{\sqrt{\frac{3^{2} }{48 }+\frac{5^{2} }{33 }} }[/tex]

             Z = 0.9450

             

             

             

which statement and reason are missing in the proof? A=A; reflexive

Answers

Answer:

a i guess there isnt a queston here

Step-by-step explanation:

Answer: hello there! the answer is a. <A ≅ <A; reflexive property, hope this helps :)

Step-by-step explanation: i just completed the unit practice test and got 100%

What implications can you draw based on the coefficient of variation from these two data sets?

Summary statistics for WEIGHT and HEIGHT (both ratio variables) of American adults in different units:

Weight Height

Mean 160 pounds 66 inches

SD 30 pounds 4 inches

You cannot compare these two data sets using a coefficient of variation because they are in different units

A. That both sets of data are equally variable.

B. That the weight data is more variable than the height data.

C. That the height data is more variable than the weight data.

Answers

Answer:

B. That the weight data is more variable than the height data.

Step-by-step explanation:

Given that :

_________ Weight _____ Height

Mean ___ 160 pounds ___ 66 inches

SD _____ 30 pounds ____ 4 inches

The Coefficient of variation is the ratio of the standard deviation and mean of a particular variable.

Weight in pounds :

Standard deviation in pounds / mean in pounds

30 / 160 = 0.1875

Height in inches :

Standard deviation in inches / mean in inches

4 / 66 = 0.060

0.1875 > 0.060

Hence, weight data is more variable than height data.

help in dying please​

Answers

Answer:

hello! :) i hope your having a wonderful day :)

Step-by-step explanation:

You work for a landscaping company and need to purchase a new trailer. The original price of the model you are looking at is $1,799, but the trailer is currently on sale for 15% off.

Answers

The new cost of the trailer, with the 16% discount, is $1,529.15. If you multiply 1,799 by .85 (as with the discount applied, you are paying 85% of the original cost), you would be $1,529.15.

You could also multiply .15 by $1,799, you get 269.85 (which is the discount with the sale). Subtract this value from 1799 and you would get the current price of the trailer (above)
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