What is the constant of proportionality for the graph?

We are given a line and a point, I assume that we want to see if the point is on the line or not.

We will see that the point does not belong to the line.

First, let's find the equation of the line.

A general line can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:

[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]

Then our line is something like:

[tex]y = -\frac{13}{3} *x + b[/tex]

To find the value of b, we can use one of the two points that we know that are on the line.

For example, the point (-2, 4) means that when x = -2, we must have y = 4.

Replacing that in the equation we get:

[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]

Now we can write the line equation as:

[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]

Now we need to see if the point (14, -6) belongs to the line.

To see this, we evaluate the line in x = 14.

[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]

This is different than -6, so the point does not belong to the line.

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Answer:

Step-by-step explanation:

We can add like terms. Like terms are when the variables are alike, so you can add them to get a simpler form of your expression.equation.

4d and 2d are like terms, therefore, we can add them.

6d+6 is what we are left with.

Our final answer: 6d+6 is equivalent to 4d+6+2d

Answer:

Step-by-step explanation:

Answer:

m = 5 / 2

Step-by-step explanation:

Given

(4, 10)

Here,

x=4 and y=10

Given equation,

y=mx _ equation 1

putting the value of x and y in equation 1. we get,

y = mx

or, 10 = m4

or, 10 / 4 = m

or, 5 / 2 = m

therefore, m = 5 / 2

Answer:

24524

Step-by-step explanation:

Use the order of operations to solve

Answer:

32/7 or 32

            ----

             7

Step-by-step explanation:

Answer:

6 stations

Step-by-step explanation:

Find the GCD of 24 and 18 in order to get the greatest number of stations

GCD is 6

Answer:6200

Step-by-step explanation:

:We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

: We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

: If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

:In this case, Rule B applies and 6248 rounded to the nearest hundred is:

6200

Answer: the answer is 6,200 hope it helps!

Step-by-step explanation:

52 miles every 2 hours

52 / 2 = 26 miles every hour

[tex]\frac{1}{3} (26)=8\frac{2}{3}[/tex] miles every 1/3 hours

Answer: The go cart can travel [tex]8\frac{2}{3}[/tex] miles every 1/3 of an hour

Answer:

Let x = the measure of the smaller angle

Let 3x + 40 = the measure of the larger angle

x + 3x + 40 = 180

4x = 140

x = 35º

3x + 40 = 3(35) + 40 = 145º

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

multiply the fraction by a hundred and the answer will have units of percent.

Answer:

Step-by-step explanation: 8/5-1/6

Find a common denominator

48/30-5-30=43/30

Answer:

b

Step-by-step explanation:

x = most popular

y = second most popular

x+y=49652

x=y+6786

Substitute into the first equation

(y+6786)+y=49652

2y=49652-6786

2y=42866

y=21433

x=21433+6786=28219(answer)

Answer:

Q1. angle x + angle y = 180°

Q2. angle x = angle y

Answer: x = 7

Step-by-step explanation:

5x + 7 = 42

We then take 7 away from both sides:

5x = 35

Then, we need to make it so x = answer. To make 5x into x, we divide by 5 meaning that we next need to divide both sides by 5.

x = 7

Answer:

5*8+12/3

=40+4

=44..........

Answer:

slope = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = - 12 ( subtract 2x from both sides )

3y = - 2x - 12 ( divide all terms by 3 )

y = - [tex]\frac{2}{3}[/tex] x - 4 ← in slope- intercept form

with slope m = - [tex]\frac{2}{3}[/tex]

Answer:

Yes it is a polynomial.

Step-by-step explanation:

3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.

Note : -

Types of polynomials :

Answer:

[tex]4394[/tex]

Step-by-step explanation:

the bird is

Answer:

hope it helps......................

Answer:

Hello, There! I'll be Glad to help

Amtrak: 80 miles in 5 hours

Metra: 30 miles in 2 hours

Which train is faster? How do you know?

[tex]\textbf{Amtrak is correct}[/tex]

Step-by-step explanation:

So First we have to figure out Has fast the trains  go in 1 hour so we are going to divide...

30 ÷ 2 =  15 Miles  (Metra can go 15 Miles in one hour)

80 ÷ by 5 = 16  (Amtrak Can go 16 Miles in one hour)

_______________________________________

So If Metra Were to keep going  Here are the list of Miles Below

(45 Miles in 3 hours)

(60 Miles  in 4 hours)

(75 miles in 5 hours)

________________________________________

Amtrak

(96 Miles in 6 hours)

(112 miles in 7 hours )

(128 miles in 8 hours)

Therefore,  Amtrak  is the Fastest Train

Answer:

80

2 40

2 2 20

2 2 2 2 10

2 2 2 2 2 5,

2^5*5

Brainliest please

Answer:

Rate of change = 2

Step-by-step explanation:

The rate of change is equivalent to the slope of the line !

A line is written:

y=mx+b

"m" is the slope, and "b" is the y-intercept !

The line you gave was "y=2x+100"

The slope, or "m," in your equation, would be 2 !

Answer:

No asymptote

Step-by-step explanation:

This equation is linear, so it will not have an astmptote.

Answer:

X=60°

Step-by-step explanation:

A1=100° vertically opposite angles

100°=2x-20°

120°=2x

X=60°

Answer:

to get rid of the fraction multiply both sides by six

Answer:

multiply both sides by 6

Step-by-step explanation:

you won't add 2 until you have a whole number, not a fraction.

You don't need to change the direction

and you aren't supposed to change the =, >, <, or any of those signs ever, until you get to where you are multiplying or dividing by a negative number

Answer:

c

Step-by-step explanation:

other statements are false

Answer:

I could help you more if you showed more pictures

Step-by-step explanation:

Jeff makes 19 per hour and Carl makes 15 per hour.

Jeff makes more per hour, $4 more than Carl to be exact.

Jeff's constant of proportionality:   y=19/1

Carl's constant of proportionality:  y=150/10 ---> y=15

Carl's graph: For every hour he makes $15

(Hours)

10                                                                    .

9                                                             .

8                                                    .

7                                            .

6                                     .

5                              .

4                      .

3                .

2          .

1    .

    15  30  45  60   75   90  105   120  135  150 ($)

Answer:

1/4

Step-by-step explanation:

6/24 = 1/4