What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

Answers

Answer 1
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
Answer 2

y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find equation of  the line that passes through the point (-8,3) and has a slope of -1/4

m=-1/4

Let us find y intercept

3=-1/4(-8)+b

3=2+b

b=1

Hence, y=-1/4x+1 is the equation of the line that passes through the point (-8,3) and has a slope of -1/4

To learn more on slope of line click:

https://brainly.com/question/16180119

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Related Questions

Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.

Answers

Compound probabilities that required AND use multiplication

How to determine the reason?

The probability of compound events is of two types

The one that require ANDThe one that require OR

As a general rule, the AND probability require products

Take for instance

P(A and B) = P(A) and P(B)

This gives

P(A and B) = P(A) *  P(B)

So, compound probabilities that required AND use multiplication

Read more about compound probabilities at:

https://brainly.com/question/1553768

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Ten movie tickets cost $80. How much does a single movie ticket cost?

Answers

Answer:

$10

Step-by-step explanation:

$80 / 10 tickets = 8 per ticket

Please give me some help

Answers

Answer:

do it got a picture

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

PLS HELP round to the nearest hundredth

Answers

answer is 3.40 hope this helps

is y=3x^2+2 a linear function

Answers

Answer: No!

Step-by-step explanation: This is a parabola. The graph for this function is not straight. We can also tell this is not a linear function because the degree of the function is 2.

Hope this helps :)

No.

y = 3x² + 2 has a degree of 2. So, it'll not make a graph which is a straight line. It's NOT a linear function. Linear functions have a degree of 1 or 0.

This is a quadratic polynomial (degree = 2) & when drawn on a graph, it'll make a parabola.

_____

Hope it helps ⚜

Find the median number for 10,5,7,9,18,15,17,14,16,17,15,19,5

Answers

The median is 15. When you sort the numbers from least to greatest, the number in the middle is the median.

Answer:

15

Step-by-step explanation:

The median is the "middle" number between a range of numbers. In this question, 15 is the median because is the number that is between the minimum number (5) and the maximum number (19) Hope this helps :)

The graph shows that f(x)={is translated
horizontally and vertically to get the function

Answers

Answer: 3

Step-by-step explanation:

(2x2 3+2)x(4x2 3-1/2)

Answers

Answer:

85.5

Step-by-step explanation:

Answer:

(2*2 3+2) * (4*2 3-1/2)

(4*5) * (8*3-0.5) = (8*2.5)

20*200

4000

what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )

Answers

Answer:

0

Step-by-step explanation:

........

Answer:

g=-10

Step-by-step explanation:

-g+2(3+g) = -4

-g+6+2g=-4

g=-4-6

g=-10

What is the intersection of plane AEH and plane EGH?

Answers

Answer:

E

Step-by-step explanation:

Hope this helped

The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?

Answers

Answer:

20 buses

Step-by-step explanation:

Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.

To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.

5 * 4 = 20

Hope this helps! :D

1 mi = 1.6 km

How many miles are in 39.2 kilometers?

Answers

Answer:

24.35775

Step-by-step explanation:

Ty for points xd

Answer:

24.35 miles

Step-by-step explanation:

just divide 39.2 by 1.6

1. Ram has 50 apples. He distributed them
to his four siblings in the ratio 5:2:2:2. Find
how many apples will each get?
I

Answers

121/2

Step-by-step explanation:

50/4

it goes 12because of 48.

and then it will remain 2

The information is on the image​

Answers

Answer:
-16
hope this helps

Here's the question. ​

Answers

Answer:

The value of T₂₀ - T₁₅ is -20.

Step-by-step explanation:

Given :

>> If for an A.P, d = -4

To Find :

>> T₂₀ - T₁₅

Using Formula :

General term of an A.P.

[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]

>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common difference

Solution :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]

[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]

Hence, the value of T₂₀ is a + 19d.

[tex] \rule{190}1[/tex]

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]

[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]

[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]

Hence, the value of T₁₅ is a + 14d

[tex] \rule{190}1[/tex]

Now, finding the difference between T₂₀ - T₁₅ :

[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]

[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]

[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]

[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]

[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]

Hence, the value of T₂₀ - T₁₅ is -20.

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

will give brainliest plz help

Answers

4.6(if rounded) or 4.57 (if not rounded)
There are 32oz for the full week, all you have to do is divide that by 7 to find the average for each day :)

hope you get it
{2x−y=4
y−x=4

Answers

Step-by-step explanation:

System of Linear Equations entered :

[1] 2x-y=4 [2] y-x=4

Equations Simplified or Rearranged :

  [1] 2x - y = 4   [2] -x + y = 4

Graphic Representation of the Equations :

y + 2x = 4 y - x = 4

Solve by Substitution :

// Solve equation [2] for the variable  y 

 

[2] y = x + 4

// Plug this in for variable  y  in equation [1]

  [1] 2x - (x +4) = 4   [1] x = 8

// Solve equation [1] for the variable  x 

  [1] x = 8 

// By now we know this much :

  x = 8   y = x+4

// Use the  x  value to solve for  y 

  y = (8)+4 = 12 

Solution :

 {x,y} = {8,12} 

Identify the equation of the line graphed below. Prove by converting!

A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8

Answers

The answer is c. x+2y=8

A group of 493 people is going on a boat tour. If each boat holds 7 people, how many people will be on the last boat?

Answers

Answer:

3 people.

Step-by-step explanation:

493÷7=70 with 3 remaining.

can anyone answer this question please
6[y-2]/7-12=2[y-7]/3

Answers

Answer:

y =47.5.

Step-by-step explanation:

First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:

21* 6[y-2]/7-21*12 = 21*2[y-7]/3

18(y - 2) - 252 = 14(y - 7)

18y -36 - 252 = 14y - 98

18y - 14y = -98 + 36 + 252

4y = 190

y = 190/4

y = 47.5.

Find the value of x to the nearest tenth. Show all
the work

Answers

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

List the ordered pairs

Here are the choices

Answers

It's the third option

What’s 10^102????????€

Answers

Answer:

(2^102•5^102)

Step-by-step explanation:

(10)^102 = (2•5)^102 = 2^102 • 5^102

Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps

Answers

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

If EF = 2x + 5 and FG = x + 9, what is EF?

Answers

Answer:

2- × 5

Step-by-step explanation:

v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F

Answers

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!

Answers

Answer:

B is the answer

Step-by-step explanation:

Find the value of the expression:
x(x-y)-y(y^2-x) for x=4 and y=2

Answers

Replacing x by 4 and y by 2, it is found that the value of the expression is of 8.

The expression given is:

[tex]x(x - y) - y(y^2 - x)[/tex]

We want to evaluate it for x=4 and y=2, hence, we replace x by 4 and y by 2, then:

[tex]4(4 - 2) - 2(2^2 - 4) = 4(2) - 2(0) = 8[/tex]

The value of the expression is of 8.

A similar problem, in which the objective is finding the value of an expression, is given at https://brainly.com/question/19548262

10 + (-3 3/8)

Please explain of how i can do this

Answers

Answer:

53/8 or 6.625

Step-by-step explanation:

10 + (-3 3/8)

Convert everything to a fraction having the same denominator.

-3 3/8

-24/3 - 3/8

-27/8

10

80/8

Combine:  (80/8 - 27/8) = 53/8 or 6.625

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