Find the equation of the line shown.

Find The Equation Of The Line Shown.

Answers

Answer 1

Answer:

4y + x = 8

Step-by-step explanation:

firstly, we choose any 2 points on the line

point 1 = (0,2)

point 2 = (4,1)

x1 = 0, x2 = 4

y1 = 2, y2 = 1

from,

[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]

[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]

[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]

Cross multiplying,

-1(x) = 4(y - 2)

-x = 4y - 8

4y + x = 8


Related Questions

What two integers does Square root of 50 fall between?

Answers

It falls between 6 and 8

The dry ingredients in a chocolate cake recipe are 2 cups of flour, 3/2 cups of sugar, and 3/4 cup of cocoa. How many cups of dry ingredients are in the cake mix?

Answers

Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.

Step-by-step explanation:

Given: Quantities of dry ingredients for cake:

2 cups of flour, [tex]\dfrac32[/tex] cups of sugar, and [tex]\dfrac34[/tex] cup of cocoa.

Total cups of ingredients used = [tex]2+\dfrac32+\dfrac34[/tex]

[tex]\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}[/tex]

Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.

LESS THAN 5 MIN!!! WILL GIVE BRAINLIEST


Raise to the power:

(–xn)^4

Answers

Answer:

x^4n^4

Step-by-step explanation:

Answer:

[tex]n^{4} x^{4}[/tex]  

I really hope this helps!

X + 8 =-12
ale
Soy unni
w

Answers

Answer:

x=-20

Step-by-step explanation:

x+8−8=−12−8

x=−20

Answer:

The answer is -20

Step-by-step explanation:

X+8=-12

 You subtract 8 from the left the the right side of the equal sign.

This leaves: X=-20

The reason is, when you subtract a negitive from a negitive you add them together given that they have the same + or - sign. In this case, they are both negitive.

12+8 equals 20

But because it's negive you have to add them together.

There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase
of the number of students?

Answers

The answer is 58 students

Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?

Answers

Apá me voy bye a mi baby you and you mom me he levantado de mi cama a la

This is really head to so try yo best

Answers

???

soooo..........whats ur question

Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift for
Mother’s Day. How much money in all have the sisters set aside for the gift?

Answers

137 rupees altogether have been saved by both sisters

The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?

Answers

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ4

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

Which expression would be easier to simplify if you used the associative property to change the grouping?
A. ( 50 + 50 ) + 63
B. ( 43 + 60 ) + 40
C. ( 2/5 + 3/5 ) + 7/3
D. [ - 14 + ( - 26 ) ] + 67

Answers

Answer:

probably A

Step-by-step explanation:

8a+5 = 7b+4 = 5c + 2

Answers

Answer:

a= -5/8

b= -4/7

c= -2/5

Step-by-step explanation:

8a + 5 = 7b + 4 =5c + 2

I'm not sure what you want with this incomplete question, but I assume it's to find the values of a, b, and c.

Therefore, to find the value of a,

8a+5=0

8a= - 5

a= -5/8

7b + 4=0

7b = - 4

b= -4/7

5c + 2=0

5c= - 2

c= -2/5

Therefore, the values of a, b, and c are -5/8, -4/7 and -2/5

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.

Answers

Answer:

vertical line

Step-by-step explanation:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.

Answer:

the answer is b

Step-by-step explanation

Which equation represents the line that passes through (2, -1) and is
perpendicular to the graph of y=-2x +1. (Please show all your work)

Answers

Answer:

y=(1/2)x-2

Step-by-step explanation:

Remember y=mx+b equation.

If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2

Use the (x-x1)m= (y-y1) equation and the given point (2, -1),

so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2

How are you feeling about your understanding of slope and the graph of a line?
A.
I've got this down!
B.
I get most of it, but I need some practice.
C.
I kind of get it, but I still have some questions.
D.
I'm totally lost and will need help moving forward with this.

Answers

This doesn't seem like a academic question. The teacher is simply asking you how if you understand slope and graph of a line. Answer this of your own.

First to answer gets a brainliest! (everything is in the photo)

Answers

Answer:

It is ( D )

Step-by-step explanation:

Have a good day

Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?

Answers

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

A relation is
i don't know this answer somebody please help

Answers

it is a factory that links two thing together

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set.

Help! Plz!
What reflections map the figure onto itself?


The reflections that map the figure onto itself are Ra and Rb where a = and b =

Answers

9514 1404 393

Answer:

a = mb = n

Step-by-step explanation:

The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...

  Ra . . . where a = m

  Rb . . . where b = n

Answer:

hope this pic helps enjoy

For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?

{0°, 90°}
{0°, 180°}
{90°, 180°}
{90°, 270°}

Answers

Answer:

It's the second option {0°, 180°}

Explanation:

Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .

Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.

You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).

So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.

The answer is B. {0°, 180°}

The town of gettysburg, PA, plans to shoot a live cannon as part of their annual Gettysburg Civil War Battle Reenactment. The organizers want to make sure that when they fire the cannon, it lands in a location that does not injure any participants or spectators. The slope of the field they are firing into can be represented by the equation y=0.15x. Let x represent horizontal distance, and y represents vertical distance.. if the cannon fires the cannon ball at an arc denoted by the equation y=-0.5x^2+2.5x+1, at what distance will the cannonball land.
-I know i'm supposed to set -0.5x^2+2.5x+1=.15x and use distance formula BUT I KEEP GETTING DIFFERENT ANSWERS.

Answers

Answer:

The cannonball lands at approximately 5.093 unit distance from the point of fire

Step-by-step explanation:

The given parameters are;

The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1

The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x

The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;

At the point of contact of the cannonball and the field, the y-values of both equation will be equal

y₁ = y₂

∴ -0.5·x² + 2.5·x + 1 = 0.15·x

Which gives;

-0.5·x² + 2.5·x - 0.15·x + 1 = 0

-0.5·x² + 2.35·x + 1 = 0

-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0

0.5·x² - 2.35·x - 1 = 0

The above equation is in the general form of a quadratic equation, which is given as follows;

a·x² + b·x + c = 0

By the quadratic equation, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Plugging in the values, gives;

[tex]x = \dfrac{2.35\pm \sqrt{(2.35)^{2}-4\cdot (0.5)\times (-1)}}{2\cdot (0.5)} = \dfrac{2.35\pm \sqrt{7.5225}}{1} =2.35 \pm \sqrt{7.5225}[/tex]

∴ x ≈ 5.093 or x ≈ -0.393

Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093

The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;

[tex]y_{(initial)}[/tex] = -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597

[tex]y_{(initial)}[/tex] ≈ -0.0597.

However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.

A car travels 355 miles in 5 hours. How many miles did they travel per hour?

Answers

Answer:

71 miles in 1 hour

Step-by-step explanation:

divide the total amount of miles by the total amount of hours: 335/5

you get 71 mph

Answer:

71 miles per hour

Step-by-step explanation:

355 divided by 5 is 71

71 x 5 = 355

355 divided by 71 is 5

Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances

Answers

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

subtract (5z^6-3v)-(-3z^6)

Answers

Answer:

[tex]8z^6-3v[/tex]

Step-by-step explanation:

Help pleasseeeeeeeeeeeeeeeeeeer

Answers

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

What is an equation in slope-intercept form of the line that passes through (6, -7) and is perpendicular to the line shown below?

Answers

Answer:

A

Step-by-step explanation:

it is y=-1/2x-4 for sure.

27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?

Answers

Answer:

25t+95 or 5(5t + 19)

Step-by-step explanation:

The total of the sound fee = $25

The total of the rental fee = $95

Write is as an equation and you can get 25t + 95 or 5(5t + 19)

Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.

Answers

Answer:

C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON

5) A firm has $30,000 in a bank account at the beginning of the year. Interest will be paid at a rate of 2% at the end of the year. How much interest will the firm receive for the year?

Answers

Answer:

10%

Step-by-step explanation:

10% i think

May someone tell me what the value of x is ?

Answers

Answer:

maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation:

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