find an equation of the line passing through the point (5 4) and parallel to the line whose equation is y= 2x-6

Answers

Answer 1

Answer:

[tex]y = 2x - 6[/tex]

Step-by-step explanation:

Given

Equation: [tex]y = 2x - 6[/tex]

Required

Determine the equation of Point: (5,4)

First, we need to determine the slope of [tex]y = 2x - 6[/tex]

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope;

Hence; [tex]m =2[/tex]

Since the equation and the point are parallel. then they have the same slope (m).

[tex]m = 2[/tex]

Next, is to determine the equation of the point, using the following formula:

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,4)[/tex]

So, the equation becomes

[tex]2 = \frac{y - 4}{x - 5}[/tex]

Cross Multiply

[tex]y - 4 = 2(x - 5)[/tex]

Open Bracket

[tex]y - 4 = 2x - 10[/tex]

Make y the subject of formula

[tex]y = 2x - 10 + 4[/tex]

[tex]y = 2x - 6[/tex]

Hence, the equation is [tex]y = 2x - 6[/tex]


Related Questions

Which expression is equivalent to 3 - 2
Choose 1 answer:
А
--3
+
-2
B
D
- 2

Answers

Answer:

-2+3

Step-by-step explanation:

What term best describes the intersection of the strokes drawn when writing the letter T? point plane line

Answers

Answer:

Point just took the test and this is the answer.

Step-by-step explanation:

Find the product.
(4x - 3y) (2x + y)

Answers

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

What is an integer? ​

Answers

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

Compute the exact value of the function for the given x-value. f(x) = 6x for x = 3

Answers

You plug in x to the function. So it would be 6(3). 6 x 3 is 18, so f(x)=18.

Evaluate –9 – 13 + 2 + 13.

Answers

Answer: -7

-9-13= -22
-22+2= -20
-20+13= -7

if the sales tax rate is 7.375% in new york state then how much sales tax would you pay for a $9,500 used car

Answers

I'm not really good at this

9500 x 7.375/100 = $700.625

Answer: 700.625$

Explanation:

Find sales tax:

Price of car • tax rate = sale tax

9500$ x 7.375%
= 9500$ x 7.375/100
= 95$ x 7.375
= 700.625$

HELP! i’m confused! question is in the picture

Answers

Answer:

[-6,-3]

Step-by-step explanation:

So we have the compound inequality:

[tex]2x+7\leq x+4\leq 3x+16[/tex]

Let's solve for each of the inequalities:

1)

We have:

[tex]2x+7\leq x+4[/tex]

Subtract x from both sides:

[tex]x+7\leq 4[/tex]

Subtract 7 from both sides:

[tex]x\leq -3[/tex]

So that's one of our answers.

2)

We have:

[tex]x+4\leq 3x+16[/tex]

Subtract 3x from both sides:

[tex]-2x+4\leq 16[/tex]

Subtract 4 from both sides:

[tex]-2x\leq 12[/tex]

Divide both sides by -2. Since we're dividing by a negative, flip the sign:

[tex]x\geq -6[/tex]

Therefore, our entire answer is:

[tex]-6\leq x\leq -3[/tex]

This means all values in between -3 and -6 including -3 and -6.

In interval notation, this is:

[tex][-6,-3][/tex]

So, A is -6.

And B is -3.

And we're done :)

how do you solve these 2 task cards?

Answers

Answer:

DECIMAL TASK #30

$81.15

Step-by-step explanation:

12.95 x 2 = 25.9

or

12.95 + 12.95 = 25.9

and then

9.75 x 3 = 29.25

or

9.75 + 9.75 + 9.75 = 29.25

and then

the 26 from the popcorn and drinks

25.9 + 29.25 + 26 = 81.15

Task card 30 is 81.15
Task card 32 is 13

1may u please tell me the answer ​

Answers

It’s very confusing so I lost track right now I think it’s A

What is the area of the triangle?

Answers

Answer:

9 units²

Step-by-step explanation:

Area of triangle= ½ × base × height

The base here is 3 units and the height is 6 units.

Area of traingle

= ½(3)(6)

= 9 units²

Which property was used to simplify the expression? 3c + 9 + 4c = 3c + 4c + 9

Answers

Answer:

Step-by-step explanation:

subtraction

Answer:

distributive property

Step-by-step explanation:

3c+ 9 + 4c = 3c + 4c + 9 A: distributive property

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area of the rectangle? (rea=length*width)

Answers

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ([tex]A[/tex]) is represented by the following formula:

[tex]A = w\cdot l[/tex]

Where:

[tex]w[/tex] - Width.

[tex]l[/tex] - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ([tex]l = 2.2\cdot l_{o}[/tex], [tex]w = 0.8\cdot w_{o}[/tex])

[tex]A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})[/tex]

[tex]A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}[/tex]

[tex]A = 1.76\cdot A_{o}[/tex]

The area of the rectangle is increased in 76 percent.

Why should we care about gender inequality? HELP HELP HELLLPPP!!!

Answers

Answer:

Because we're not awful human beings, its not fair for men to be better than women

Step-by-step explanation:

what are the coordinates of B if the midpoint of line segment AB is (2, -5) and the coordinates of point A is (4, 4)?

Answers

Midpoints are (3,0)

Consider the function f(x) = x2 – 331. Chivonne claims a domain restriction x ≥ 0 produces the inverse function f–1(x) = StartRoot x minus 331 EndRoot . Which statement describes whether Chivonne is correct? The expression for f–1(x) is correct, but the domain restriction is not. The domain restriction is correct, but the expression for f–1(x) is not. Both the expression for f–1(x) and the domain restriction are correct. Neither the domain restriction nor the expression for f–1(x) is correct.

Answers

Answer:

The correct option is;

The domain restriction is correct but the expression for f⁻¹(x) is not

Step-by-step explanation:

The expression for the function is given as follows;

f(x) = x² - 331

The inverse function suggested = f⁻¹(x) = √(x-331)

The domain restriction is x ≥ 0

The inverse function if given as follows;

y = x² - 331 (Interchange x and y to get)

x = y² - 331

x + 331 = y²

y = ±√(x + 331)

Given that the domain restriction has been put as x ≥ 0, we select the + case to give;

f⁻¹(x) = √(x + 331)

Therefore, the domain restriction is correct but the expression for f⁻¹(x) is not.

Answer: B

The domain restriction is correct, but the expression for f–1(x) is not.

Step-by-step explanation:

Find the distance between these points. round to the nearest hundreth. Points:(-8,-2) and (6,-1)

Answers

distance formula

sq root of (x2−x1)^2+(y2−y1)^2

sq root of (6−(−8))^2+((−1)−(−2))^2

simplify, its easier than it looks

sq root of 197

14.03566884

round to nearest hundreth

14.04

what is 8/2 is it a interger ,rational ,irrational or whole number

Answers

Answer:

[tex]\frac{8}{2}[/tex] is a rational number

Step-by-step explanation:

Money is borrowed at ​8% simple interest. After one​ year, ​999.00$ pays off the loan. How much was originally​ borrowed?

Answers

Answer:

PV= $925

Step-by-step explanation:

Giving the following information:

Money is borrowed at ​8% simple interest. After one​ year, ​$999 pays off the loan.

To calculate the original value of the loan, we need to use the following formula:

PV= FV/(1+i*n)

PV= 999/(1+0.08*1)

PV= $925

A coast guard ship patrols an area of 125 square miles . The area the ship patrols is a square . About how long is each side of the square round to nearest mile ! PLEASE HELP

Answers

Answer:

11

Step-by-step explanation:

If it is a square, both sides will be equal. Therefore, you need to find out what number times itself equals 125. In the end, you just have to solve [tex]\sqrt{125}[/tex] which is 11.1803...When you round that number, you get 11.

what is the value of m?

Answers

Answer:

4) M=5

Step-by-step explanation:

When multiplying exponents, you add them.  When raising an exponent to another power, you multiply them.

(x^5*x²)³=(x^7)³=x^21

CAN SOMEONE PLS HELP ME ON THIS ONE.....

Answers

Answer:

Years 3-4 and the percentage change was by 8%. Please vote Brainliest!

Step-by-step explanation:

Answer:

C the greatest growth was between 3 and 4 and about 8%

Step-by-step explanation:

Can anybody answer this for range?

Answers

Answer:

The answer is (2, 4)

Step-by-step explanation:

I hope this helps!

What is the value of y in the equation 4y – 2(1 – y) = –44?
–23
–15
–14
–7

Answers

Answer:

-7

Step-by-step explanation:

The value of y will be -7

What is distributive property of multiplication over addition ?

If we multiply a number by the sum of more than two, we use the distributive property of multiplication over addition.

The equation given is 4y-2(1-y)= -44, now solving it for the value of y using distributive property of multiplication over addition :

[tex]\begin{aligned}4y-2(1-y)&=-44\\4y-2+2y&=-44\\6y&=-42\\y&=-7 \end{aligned}[/tex]

Therefore, the value of y is -7

Read more about property of multiplication here :

https://brainly.com/question/14391436

#SPJ2

A piece of wood has a width of 5 cm and a height of 10 cm. Its volume is 100 cm? What is the length of the wood?

10,000 cm

2 cm

515 cm

50 cm

Answers

Answer:

The length of a piece of wood is 2 cm.

Given:

volume = 100 cm³

width = 5 cm

height = 10 cm

length = ?

Volume is computed by multiplying the length, width, and height of an object.

Volume = length * width * height

100 cm³ = length * 5 cm * 10 cm

100 cm³ = length * 50 cm²

100 cm³ / 50 cm² = length

2 cm = length

to check:

100 cm³ = 2 cm * 5 cm * 10 cm

100 cm³ =  10 cm² * 10 cm

100 cm³ = 100 cm³

Answer:

2 cm

Step-by-step explanation:

write out equation for volume for a Rectangular prism and plug in the numbers you have. Multiply the Width and Height and divide the volume with the product of Width X Height

Given h(x) = 5x + 1, find h(2) HELP PLEASE

Answers

Answer:

11

Step-by-step explanation:

[tex]h(x)=5x+1\\\\h(2)=5(2)+1\\\\h(2)=10+1\\\\\boxed{h(2)=11}[/tex]

Hope this helps.

The cost of a ticket to a soccer game is $6. There are y people in a group who want to go to the game.

Which of the following expressions describes the total amount of money the group will need to go to the soccer game?


6−y

6y


y + 6


(6)(6)

Answers

Answer:

6y

Step-by-step explanation:

uhhhh

44 pounds is equivalent to
ao
kilograms.

Answers

Answer:

19 kilograms

Step-by-step explanation:

because it is

The beast, a roller coaster in Cincinnati, Ohio, is 1.4 miles long. How far would you travel in 5 rides?

Answers

you would travel 7 miles

Answer:

7 miles

Step-by-step explanation:

So we know that theroller coaster is 1.4 miles long for ONE ride. Since we're riding it for more times we would multiply how many miles to how many times we're riding it. So 1.4 *5 which equals 7.

The two parallelograms in the graph below are similar. Which sequence of transformations proves that the parallelograms are similar? A rotation 270° clockwise about the origin followed by a dilation with scale factor 5 A rotation 270° clockwise about the origin followed by a dilation with scale factor A rotation 90° clockwise about the origin followed by a dilation with scale factor A rotation 180° clockwise about the origin followed by a dilation with scale factor 5

Answers

Answer:

A rotation 90 degrees clockwise about the origin followed by a dilation with scale factor A

Step-by-step explanation:

The rotation is going clockwise, so that already eliminates the first, second, and third answer, leaving answer C

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