Find the equation of a line parallel to y=4x−4 that contains the point (−2,0). Write the equation in slope-intercept form.

Answers

Answer 1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{4} x-4\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so we're really looking for the equation of a line whose slope is 4 and passes through (-2 , 0)

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{4}(x-\stackrel{x_1}{(-2)}) \\\\\\ y=4(x+2)\implies y=4x+8[/tex]


Related Questions

The y- intercept is when x= ?

Answers

Answer:

The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

Step-by-step explanation:

hope it helps

can you help me solve for slope ​

Answers

The equation is
y = mx + c
m is the gradient
c is the y intercept

Do you know how to find the gradient

what is the probability of spinning an A if you have 2 A on the 6 letter spinner?

Answers

Answer:

1/3

Step-by-step explanation:

p(A) = (number of A's on the spinner)/(total number of letters on the spinner)

p(A) = 2/6 = 1/3

HELPPPP IF YOU CAN pls?

Answers

Answer:

i'm not sure but here's some encouragement- YOU CAN DO IT

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is B 80.00 hope this helps

have a nice day

Step-by-step explanation:

What is the factored form for the quadratic function?

Answers

Answer:

Step-by-step explanation:

The factored form of a quadratic function is f (x) = a (x - p) (x - q) where p and q are the zeros of f (x).

Evaluate the expression 3× 2t if t equals 4

Answers

3 * 2t
And
t = 4

Can you rewrite this with 4 where the t is
That would mean it’s 3x2(4), first you’d do 2(4) which is 2x4 and that equals 8, then it’s 3x8 and it’s equals 24, so the answer is 24, hope this helps! ^^

Can someone tell me what is 1350 divided by 225 step by step?

Answers

0006
225) 1350
1350
6

with any set of scores that is normally distributed what percentage of the total area falls,

1. between the mean and a score that lies one standard deviation below the mean?

2. above a score that lies one standard deviation below the mean and one standard deviation above the mean?

3. between a score that lies two standard deviations below the mean and two standard deviations above the mean?​

Answers

Answer:

1.) Approximately 68%We can summarize use of the standard deviation as a yardstick with the Empirical Rule, also known as the 68-95-99.7% Rule. In any normal distribution with mean μ and standard deviation σ : Approximately 68%of the data fall within one standard deviation of the mean.

Step-by-step explanation:

How do you solve this multiplying decimals problem 0.14 x 0.27 ?

Answers

Answer:

0.0378

[tex]\begin{gathered} \: \end{gathered}[/tex]

[tex] \tt0.14 \times 0.27[/tex][tex] \tt = \red{0.0378}[/tex]

[tex]\begin{gathered} \: \end{gathered}[/tex]

Stephen rolls a fair dice 78 times.
How many times would Stephen expect to roll an odd number?

Answers

Answer:

Step-by-step explanation:

1 3 5 are all odd numbers.

There are 6 numbers all together on a die. 1 2 3 4 5 6

That means that 3/6 times, he should roll an odd number

3/6 * 78 = 39

He should get 39 rolls which are an odd number.

what is the area of a square and a right triangle combined?

Answers

Answer:

you would have to separate the shapes and find out what the area  of them both and add them together

Step-by-step explanation:

the tangent decimal of a 25-degree angle is .4463. what can be determined about the length of the angles opposite sides compared to the length of the angles adjacent sides?

Answers

heres a link hope it help you

https://www.journaldespalaces.com/carriere/offre-118597-Officier-de-restauration-Cafetier.html

What is the area of a rectangle with a length of 214 inches and a width of 234 inches?

714 in²

6316 in²

4316 in²

3332 in²

Answers

Given :

The length of a rectangle is 214 inches and the width is 234 inches.

To Find :

The area of the rectangle.

Solution :

We know that,

[tex]\qquad { \pmb{ \bf{Length \times Width = Area_{(rectangle)}}}}\:[/tex]

Now substituting the values :

[tex]\qquad {\dashrightarrow{ \sf{214 \: in\times 234 \: in = Area_{(rectangle)}}}}\:[/tex]

[tex]\qquad {\dashrightarrow \: { { \sf{50,076 \: {in}^{2} = Area_{(rectangle)}}}}\:}

[/tex]

Hence, The area of the rectangle is 50,076 in² .

The area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

How to find the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle.

The rectangle given in the problem has,

A length of 2 1/4 inches.  A width of 2 3/4 inches.

Thus, the area of the rectangle is,

[tex]A=2\dfrac{1}{4}\times2\dfrac{3}{4}\\A=\dfrac{8+1}{4}\times\dfrac{8+3}{4}\\A=\dfrac{9}{4}\times\dfrac{11}{4}\\A=\dfrac{99}{16}\\\A=\dfrac{96+3}{16}\\A=6\dfrac{3}{16}[/tex]

Thus, the area of a rectangle with a length of 2 1/4 inches and a width of 2 3/4 inches is 6 3/16 in². Option C is correct.

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

you run a delivery service between two small islands which are connected by a bridge and connected to the mainland by several bridges as shown in the picture below. the river separates the top mainland from the bottom mainland. you cannot get from the top of the mainland to the bottom of the mainland without passing through an island.

Answers

Answer:

"Through" (and any subsequent words) was ignored because we limit queries to 32 words.

A water pipe is leaking 2 1⁄4 litres of water every hour. How long will it take 5 2⁄5 litres of water?

Answers

Answer:

above is the solution to the question

If m aed is 48°, then possible measurements for arc ad and arc bc respectfully are:

Answers

Answer:

it's going to be 30 and 18

The possible measurements for arc AD and arc BC are 130° and 34° respectively.

What is Circle?

Circle is a two dimensional figure which consist of set of all the points which are at equal distance from a point which is fixed called the center of the circle.

Given is a circle.

We have the outside angle formed by the two secants is ∠AED and the measure for it is 48°.

Outside Angle Theorem states that " the measure of an angle which is formed by joining two tangents, or two secants, or one of either of them is equal to the measure of half of the difference of the intercepted arcs.

Here outside angle, ∠AED = 48°

Intercepted arcs are AD and BC.

Using the theorem,

∠AED = (Arc AD - Arc BC) / 2

This holds only if AD = 130° and BC = 34°.

(130 - 34) / 2 = 48

Hence the correct option is D. 130° and 34°.

Learn more about Circle Arcs here :

https://brainly.com/question/3384740

#SPJ3

The Kaaba is one of Islam's holiest shrines. In what city is it located?
a.
Cairo
c.
Riyadh
b.
Medina
d.
Mecca
please help

Answers

Mecca ,Saudi Arabia
D is the answer

Zach worked 1,040 hours this year and made $9 per hour. How much money did he earn over the course of the year?

$9,060
$9,360
$10,360
$12,660

Answers

Answer:

$9,360

Explanation:

$9 per hour, rewrite: 1 hour he earned $9

so for 1040 hours, he earned:

$9 * 1,040

$9,360

Answer:1,040h x $9 = 9,360Step-by-step explanation:Just multiply the hours by how much he made per hour, its B

This table contains x and y values in equivalent ratios fil in the missing value in the table

Answers

it’s x because y value missing value in the table to ratios

Answer:

where is the table?

Step-by-step explanation:

._.

4. Funds are like the ultimate in one stop shopping (investing)
True
False

Answers

True because when you get funds you invest in yourself


True

∫(2x^3-x^2-2x+4)/(1+x^2)dx

Answers

Simplify the integrand as

[tex]\dfrac{2x^3 - x^2 - 2x + 4}{1 + x^2} = \dfrac{(2x^3 + 2x) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = \dfrac{2x(x^2 + 1) - (x^2 + 1) - 4x + 5}{x^2 + 1} \\\\ = 2x - 1 - \dfrac{4x - 5}{x^2 + 1}[/tex]

(in other words, compute the quotient and remainder)

We can further split up and prepare the remainder term for integration by rewriting it as

[tex]\dfrac{4x - 5}{x^2 + 1} = 2\times\dfrac{2x}{x^2 + 1} - \dfrac5{x^2 + 1}[/tex]

Now we integrate:

[tex]\displaystyle \frac{2x^3 - x^2 - 2x + 4}{1 + x^2} \, dx = \int \left(2x - 1 - 2\times\frac{2x}{x^2+1} + \frac5{x^2+1}\right) \, dx[/tex]

[tex]\displaystyle = x^2 - x - 2 \int \frac{2x}{x^2+1} \, dx + 5 \int \frac{dx}{x^2+1}[/tex]

In the first remaining integral, substitute y = x² + 1 and dy = 2x dx. In the last integral, recall that d/dx [arctan(x)] = 1/(x² + 1).

[tex]\displaystyle = x^2 - x - 2 \int \frac{dy}y + 5 \int \frac{dx}{x^2+1}[/tex]

[tex]\displaystyle = x^2 - x - 2 \ln|y| + 5 \arctan(x) + C[/tex]

[tex]\displaystyle = \boxed{x^2 - x - 2 \ln(x^2+1) + 5 \arctan(x) + C}[/tex]

estellano Rosales, FABIAN A cone and a cylinder with their dimensions are shown in the diagram. 8 in. 8 in. A - 6 in. - 6 in. Which measurement is closest to the difference between the volumes of these figures in cubic inches?​

Answers

Answer:151 in.³

Step-by-step explanation:

Let f(x)=cos(x)x^-2
F’(x)=

Answers

[tex]f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}[/tex]


Which function represents a parabola that is translated 2 units to the left and 6 units down from the parent function, f(x)=x^2

Answers

Translation involves moving a function along its coordinates

The image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]

How to determine the new function

The parent function is given as:

[tex]f(x) = x^2[/tex]

When the function is translated 2 units left, we have:

[tex]f'(x) = (x + 2)^2[/tex]

When the function is translated 6 units down, we have:

[tex]f"(x) = (x + 2)^2 - 6[/tex]

Rewrite as:

[tex]g(x) = (x + 2)^2 - 6[/tex]

Hence, the image of the function is [tex]g(x) = (x + 2)^2 - 6[/tex]

Read more about translation at:

https://brainly.com/question/11468584

1. If there is a decrease of 31 percent, what decimal do we multiply by to get the amount after the decrease?

2. If there is an increase of 16 percent, what decimal do we multiply by?

Answers

Answer:

1. 0.69

2. 1.16

Step-by-step explanation:

1.

Decrease of 31% = 100% - 31% = 69%

Convert 69% to a decimal = 69/100 = 0.69

2.

Increase of 16% = 100% + 16% = 116%

Convert 116% to a decimal = 116/100 = 1.16

Identify whether each phrase is an expression, equation, or inequality.

Answers

Answer:

Step-by-step explanation:

Expression => | -2 |

Equation => 6 - 1 = 2 + 3

Inequality => 8^m > 64

Answers:

Expression is [tex]|-2|[/tex]

Equation is [tex]6-1 = 2+3[/tex]

Inequality is [tex]8^m > 64[/tex]

====================================================

Explanation:

If it has an equal sign, then it's an equation.

If it has an inequality sign of one of the following [tex]< , \ > , \ \le, \ \ge[/tex], then it's an inequality.

Otherwise, it's an expression.

A line crosses the y-axis at (0,55). What is the y-intercept of this line?

Answers

Answer:

[tex]\huge\boxed{\sf{b=55\:(b=y-intercept\:;)}}[/tex]

Step-by-step explanation:

Hello.

The y-intercept of a line is a point where the graph touches the y-axis.

Y-intercepts always have an x-coordinate of 0.

Now, what is the y-intercept?

If we have a point (0, b) then b is the y-intercept.

This is just a formula, so don't think that the y-intercept is b, okay?

The y-intercept is b, but only in formulae. :)

Using the formula, we can deduce that

the y-intercept is 55.

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

50 POINTS // This graph represents a proportional relationship.

What is the constant of proportionality for this relationship?

•1/3

•1/2

•2

•I don't know

Answers

We need slope

(3,1)(6,2)

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]

Solution:

This can be solved using two methods:

Method #1:

Rise/Run = Slope=> 1/3 = Slope

The slope is 1/3.

Method #2:

y₂ - y₁/x₂ - x₁ = Slope=> 2 - 1/6 - 3 = Slope=> 1/3 = Slope

The slope is 1/3.

Looking at the two methods, we can conclude that:

The slope of the line is 1/3.

Point P is called the center of

Answers

Answer:

Point P is the center of Rotation.

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