A line has slope 3 and y–intercept 4.

Which answer is the equation of the line?

In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.

Slope-intercept formula:

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]

Point (0,0):

This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:

[tex]y = mx[/tex]

Slope:

When we have two points, the slope is given by the change in y divided by the change in x.

In this question, the two points are (0,0) and (-8,8).

Change in x: -8 - 0 = -8

Change in y: 8 - 0 = 8

Slope:

[tex]m = \frac{-8}{8} = -1[/tex]

Thus, the equation of the line, in slope-intercept formula, is:

[tex]y = -x[/tex]

For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520

The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:

1) Determine the Slope of the line by the Slope Equation for Secant Lines.

2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.

3) Write the resulting Equation of the Line.

Step 1:

The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:

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

[tex]m = -1[/tex]

Step 2:

The equation of the line is Slope-Intercept Form is now represented:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]b[/tex] - Intercept.

If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:

[tex]0 = -1\cdot (0) + b[/tex]

[tex]b = 0[/tex]

Step 3:

And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].

Related question: https://brainly.com/question/18894159

Answer:

y = -5/4x^2

Step-by-step explanation:

I'm assuming the 2 are the exponents. Make sure to use ^ to type exponents.

Green = 1/3x^2

Blue = -5/4x^2

Answer:

If the rate of interest is 12% than the answer is 12000

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

[tex]\large\mathcal{\red{ \implies \: 2 \: \pi \: {r}^{2} \: + \: 2 \: \pi \: r \: h}}[/tex]

Option ( C ) is the correct answer.

This question is solved using the central limit theorem, giving an answer of:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 140, standard deviation of 20, sample of 4:

By the Central Limit Theorem, the distribution is approximately normal.

Mean is the same, of 140.

[tex]n = 4, \sigma = 20[/tex], thus:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]

Thus, the correct answer is:

Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.

For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207

Answer:

y= 8x + 5

Step-by-step explanation:

y = 8x + b

5 = 8(0)+b

b = 5

Answer:

10x-4 feet

Step-by-step explanation:

The perimeter is the amount of the sides together so add the three sides together

2x+1+4x-4+4x-1

Combine like terms

10x-4

(You can also factor out 2 but that would not be simplest --> 2(5x-2))

Answer:

Rectangular prism- 12 edges

Rectangular pyramid- 8 edges

Triangular pyramid- 6 edges

Triangular prism- 9 edges

I hope this helps!

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...

__

a) degree 3, not linear

b) a linear function

c) a vertical line with undefined slope, not a function

d) a curve opening downward, not linear

e) a line with a bend in the middle, not linear

f) a linear function

Answer:

(1) question no.1

x<=8

(2) question no.2

5<x<7

Answer:

1. 8≥g

2. A-5≥7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Survey is the easiest, best, and fastest way o collect data.

(especially from if it's large)

Answer:

the amount will 26.7 ......hope this may help you

Answer:

Step-by-step explanation:

A horizontal line is only concerned with the y value. The equation is y = 10 because that is the point that the line must go through.

The x value does not matter as long as the y value is given as 10. The domain is any real value. The range is 10

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

C.

Brainliest, please!

Step-by-step explanation:

A negative exponent means that the number is really small, which is true in this case.

Answer:

0.00000135

Step-by-step explanation:

1.35 x 10-5 means,

1.35/100000

=>0.00000135

Answer:

sin (a+b)= sina*cosb - sinb*cosa

cos (a+b) = cosa*cosb + sina*sinb

Answer:

sin (A + B) = sin A cos B + cos A sin B

cos (A + B) = cos A cos B - sin A sin B

on:

Answer:

[tex]x - 3[/tex]

Step-by-step explanation:

Given

[tex]Volume = x(x - 3)(x + 4)[/tex]

Required

The shortest side

The volume of a rectangular prism is:

[tex]Volume = Length * Width * Height[/tex]

By comparison, we have:

[tex]Length = x[/tex]

[tex]Width = x-3[/tex]

[tex]Height = x + 4[/tex]

In ascending order, the sides are:

[tex]Width = x-3[/tex]

[tex]Length = x[/tex]

[tex]Height = x + 4[/tex]

This is so because:

Irrespective of the value of x

x - 3 will be less than x

x + 4 will be more than x

Hence, the shortest length is:

[tex]Width = x-3[/tex]

Answer:

b

Step-by-step explanation:

Answer:it could b phase shift but i think that u would have 2 put it on the axis 2 really get it but that is what is thought n our grade but axis

Step-by-step explanation:

Answer:

Step-by-step explanation:

a + 45 + 70 = 180             45 becomes an interior angle by being opposite a given vertically opposite angle.

a + 115 = 180                      Subtract 115 from both sides

a = 65

b + 68 + 65 = 180            A straight line is 180 degrees.

b +  133 = 180

b = 180 - 133

b = 47

In the triangle b + c + 100 = 180

b = 47

47 + c + 100 = 180

147 + c = 180

c = 33

If C is an exterior angle then C + 33 = 180

C = 147

You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).

Answer:

-5.126

Step-by-step explanation:

PEMDAS

-4.326 + (-0.32) ÷ 0.4

-0.32 ÷ 0.4

= -0.8

-4.326 + (-0.8)

= -4.326 - 0.8

= -5.126

Answer:

Malia used the wrong sides in her ratio for sin (90-0)

Step-by-step explanation:

Got it right on Khan academy

Answer:

If... 6.4 inches : 16 dollars

Then... 32 inches = 80 dollars.  

And, 1 inch of track = 80/32 dollars.

80/32 = 2.5.

So, the answer is: 1 inch of track costs 2.5 dollars.

The  constant of proportionality is $2,50.

The equation used to represent direct proportionality is: y = kx

Where:

y = dependent variable

x = independent variable

k = constant of proportionality

Here, the dependent variable is the cost of the track. The independent variable is the length of the tracks.

$16 = 6.4k

k = 16 / 6.4 = $2.5

A similar question was answered here: https://brainly.com/question/17033082

Answer:

Step-by-step explanation:

Let the number children tickets = c

Number of adult tickets = 75% of c = 0.75c

c + 0.75c = 1750

1.75c = 1750

   c = 1750/1.75 = 1000

Number of children = 1000

Number of adults = 75% of 1000  = 750

Cost of adult ticket = $ x

Cost of child ticket = 75% of x = 0.75x

Cost of 750 adult ticket = 750x

Cost of 1000 children ticket = 1000 * 0.75x = 750x

750x + 750x = 27000

              1500x = 27000

                      x = 27000/1500

x = $ 18

Cost of adult ticket =  $ 18

Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5

Cost of children's ticket = $ 13.50

Answer:

37.5 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh  where b is the base and h is the height

A = 7.5 * 5

A = 37.5 cm^2

Answer:

A = 37.5 cm²

Step-by-step explanation:

The area of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 7.5 and h = 5 , then

A = 7.5 × 5 = 37.5 cm²

Answer:

61

Step-by-step explanation:

(6)^2+5(6)-5

=36+30-5

=61

Answer:

1

Step-by-step explanation:

[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]

Answer:

23 males and 12 females

Step-by-step explanation:

x = # of females

y = # of males

x + y = 35

x + x + 11 = 35

2x + 11 =35    (SUBTRACT 11 FROM BOTH SIDES)

2x = 24          (DIVIDE BOTH SIDES BY 2)

x = 12 females

x + y =35

12 + y = 35     (SUBTRACT 12 FROM BOTH SIDES)

y = 23 males

23 males + 12 females = 35 students