A line in the coordinate plane passes through the points(9, 3)and(6, 10).
What are the rate of change and the initial value of the function modeled by the line?

Answers

Answer 1

Answer:

Average rate of change is -7/3 and the initial value is 24

Step-by-step explanation:

The rate of change is simply the slope of the line connecting the points

mathematically, that would be;

m = y2-y1/x2-x1

m = (10-3)/(6-9) = -7/3

Let us get the complete equation;

The general equation form is;

y = mx + b

where m is slope and b is y-intercept

y = -7x/3 + b

To get b, we simply insert one of the points

Let us use (9,3)

We insert x = 9 and y = 3

So we have;

3 = -21 + b

b = 3 + 21

b = 24

So the complete equation is;

y = -7x/3 + 24

The initial value is when x = 0

If x = 0, y will be 24


Related Questions

feeling a but lazy today so i just need a lil help with this one easy problem (5)

Answers

Answer:

22

Step-by-step explanation:

just divide lukes votes by bianca's

6 to the second power ÷ [(4.3×3)+5.1]

Answers

2 is the answer
That’s the answer.

PLS SOLVE THIS ILL GIVE BRAINILEST AND EVERYTHING

Answers

X^3 = 64
Answer: 4

X^2 = 64
Answer: +-8

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles, which was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran. Four students wrote and solved equations to find m, the number of miles that Matt ran. Which student wrote and solved the equation correctly?

Answers

Answer:

6 miles

Step-by-step explanation:

From the above question:

Stan ran 4 and StartFraction 7 Over 10 EndFraction miles

The number of miles stan ran =

4 7/10 miles

We are also told that this number of miles was 1 and StartFraction 3 Over 10 EndFraction fewer miles than Matt ran.

Let the number of miles Matt ran = m

Hence,

4 7/10 miles = m - 1 3/10

m = 4 7/10 + 1 3/10

m = (4 + 1) + ( 7/10 + 3/10)

m = 5 + (7 + 3/10)

m = 5 + (10/10)

m = 5 + 1

m = 6 miles

Therefore, the number rod miles Matt ran was 6 miles

Answer:

mattie aka B

Step-by-step explanation:

what value of x will make the equation 3(x+15)-6x=-6(x-3)

Answers

exact form:
x = -7/3
decimal form:
x = -2.3
mixed number form:
x = -2 1/3

Step-by-step explanation:

x is -9 because i did the math and im smart

The number of cups of sugar (y) in a recipe increases by 2 for every increase of 4 cups of flour (x).​

Answers

Answer:

yx2x4y i believe

Step-by-step explanation:

I need help. I finished questions 9 and 10. Now I need help with 11 and 12.

Answers

Answer:

Question 9) [tex]y=\frac{-3}{2}x+2 \\\\[/tex]

Question 10) [tex]y=-x-6\\[/tex]

Step-by-step explanation:

Well there are two methods of determining an equation of line

Method 1 (Using the slope-intercept form):

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

This method is mostly used when the y-intercept also known as b is given and the slope also known as m is given

Method 2 (Using the point-slope form):

[tex]y-y_1=m(x-x_1)\\[/tex]

This method is used when a point is given also known as (x1 , y1) and the slope is given which is denoted by m.

Since in Question 9 there is no y-intercept given only two points we will use the second method so here goes,

Q9)

Two points are  (0 , 2) and (4 , -4) first step to find out the equation of line is to calculate the slope which is as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-4-2}{4-0} \\\\m=\frac{-6}{4}\\\\m=-3/2 \\[/tex]

Now we have our slope which is m = -3/2 now since we have two points we can use any point in the point-slope form equation because both of these points lie on the line hence satisfying the desired equation that we need so we select the point (0 , 2) [YOU CAN TRY OUT FINDING THE EQUATION OF LINE BY USING THE OTHER POINT THE ANSWERS WOULD BE SAME]

so now we have the point (0 , 2) and value of m = -3/2

[tex]y-y_1=m(x-x_1)\\y-2=\frac{-3}{2}(x-0)\\\\y-2=\frac{-3}{2}x\\\\y=\frac{-3}{2}x+2\\\\[/tex]

Question 10)

Two points are (-2 , -4) and (-3 , -3) we use the same method as shown above,

First step calculate the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-3-(-4)}{-3-(-2)} \\\\m=\frac{-3+4}{-3+2}\\\\m=1/-1\\\\m=-1\\[/tex]

now we insert the value of m = -1 and take any point of the two points that are given, we select the first point (-2 , -4)

[tex]y-y_1=m(x-x_1)\\y-(-4)=(-1)(x-(-2))\\y+4=(-1)(x+2)\\y+4=-x-2\\y=-x-2-4\\y=-x-6\\[/tex]

Okay so- I picked the yellow one and I don’t know if I’m correct?

Answers

Answer:

I answered it for u before :D

What are the coordinates of the image of D'E'F'G' after a rotation of 90º clockwise? The coordinates of the pre-image DEFG are D(2,0) E(2,2) F(5,2) G(5,1)

Answers

D(2,0) E(2,-2) F(2,-5) G(1,-5)

complete the table ​

Answers

Answer:

In order, top to bottom:

(-3,6)

(-2,1)

(0,-3)

(2,1)

(3,6)

Step-by-step explanation:

All you have to do is plug the X given into the equation provided to find Y, y=x^2-3.

For the first row, you're given -3 for X, so you plug that into the equation.

y=(-3)^2-3 So, -3^2 is just (-3) times (-3) which equals 9. Then you subtract 3 from 9 which gives you 6. So your Y=6 for the first row. And, you do the same thing for the rest of the rows. Just plug X in and solve. Anything raised to the second power is just that number multiplied by itself like I did with the -3.  

During a food drive, a local middle school collected 8,887 canned food items. Each of the 27 classrooms that participated in the drive donated about the same number of items. Estimate the number of items each classroom donated

Answers

8,887 cans divided by 27 classrooms is 329.1481 so each class donated about
329 cans

What is the value of x? ( BRAINLY FOR WHOEVER )

Answers

Answer:

-6

Step-by-step explanation:

I hope this helps you out!

Answer:

x = 22

Step-by-step explanation:

Okay since they give you the measurement of 96 degrees and the lines are parallel, this means that 6x - 36 equals 96 degrees. However we are trying to find out what the variable x equals so we are going to put 6x - 36 and 96 degrees into a equation:

6x - 36 = 96

Now we are going to get all variables on one side of the equal sign and all numbers on the other, starting with adding 36 to both sides of the equal sign.

6x - 36 = 96

   + 36   +36

So now the equation looks like this:

6x = 132

Now we are going to segregate the variable x from 6x by dividing 6x by 6 and what you do to one side of the equal sign you do to the other:

6x/6 = 132/6

to equal:

x = 22

Now to check our work we are going to replace the variable x with 22 into the equation:

6x - 36 = 96 Now 6(22) - 36 = 96

132 - 36 = 96

96 = 96

I hope this helps you!!

Please help me with this.

Answers

Answer:

the answer is 12

Step-by-step explanation:

What’s the new value of x ? ! PLEASE help !!!!!!! Will mark BRIANLIEST !!!!!!!!!!!!!

Answers

Answer:

57

Step-by-step explanation:

Find the value of r so the line that passes through each pair of points has the given slope.

6. (6,r), (-4,9), m=3/2

Answers

Slope: (y2-y1)/(x2-x1)
Plug in the numbers
3/2 = (9-r)/(-4-6)
9 - r = -15, r = 24
Answer: r = 24

Francis can buy 7 shirts for $42 or 8 shirts for $48. How much will she pay for nine?

Answers

Answer:

$54

Step-by-step explanation:

[tex]42/7=6\\48/8=6\\x/9=6\\x=54[/tex]

Hope this helped :D

Answer: $54

Step-by-step explanation:

if we divide 42 by 7, or we divide 48 by 8, we can see that it is 6. so, one shirt costs $6. then, we just multiply 9 (the amount of shirts) by 6 (the cost of a shirt), and we get 54.

Does the order pair (2,-8) satisfy the following function? y=-2x-5 Yes,No

Answers

No it doesn’t satisfy the function

Study the statements carefully.
12/3 = 4 because 12 = 4•3

6/0 = x because 6 = x•0

What value can be used in place of x to create true statements? Explain your
reasoning

Answers

Answer

x = unidentified

Explanation

If 12÷3=4 and 12 = 4×3, that means 6÷0=x and x×0=6.

This isn't possible because any number divided by 0 is unidentified.

Ali was swimming along the bottom of his backyard pool at a depth of 6 feet then he pushed off the bottom and rose 4 feet what is ali's position now relative to the surface of the pool .To solve the problem ,fatima made this equation _6+4 and came up with an answe of 2 feet

Answers

Answer:

2 feet.

Step-by-step explanation:

Here the surface of the water is taken as the reference point. Let us take the depth of the swimmer below the water to be negative. Ali is 6 feet from the surface of the water so his height is -6. He then rose 4 feet so this need to be added to his initial height.

So, Ali has reached a height of [tex]-6+4=-2\ \text{feet}[/tex]. Hence, Ali is 2 feet from the surface of the water.

PLS HELP ASAP I DONT HAVE TIME AND IT ALSO DETECT IF ITS RIGHT OR WRONG!

Answers

Answer:

37.5%

Step-by-step explanation:

I don't have a step-by-step explanation, and I don't know if this is right. It doesn't give me enough time to solve it. If an expert could check this, it would be highly appreciated!

Figure 1, 2, 3, 4 go where ?

Please help! I’ll give Brainliest !!

Answers

Answer:

figure 1 and figure 2 AA theorem

figure 3 and figure 4 SAS theorem

I love your name for your profile:)
Have a blessed day and think positive! You got this! :)

A race car driver's goal is to complete a 1000-kilometer auto race in 4 hours or less. The driver's average speed is 4200 meters per minute. Does the driver meet the goal?

Answers

Yes the driver will meet their goal

Answer:

Step-by-step explanation:

yes

Analyze the graph. Which inequality represents the graph?

y > -1/3x + 4
y –3x + 4
y < –3x + 4

Answers

Answer:

y < -3x + 4

Step-by-step explanation:

From the graph, we can see that the intercept on the y axis is 4 while the intercept on the x-axis is approximately 1.33 or simply 4/3.

This means, at x = 0, y = 4 and at y = 0, x = 4/3.

Therefore the linear equation is;

y = -3x + 4

However, the shaded area is below the line and so the operation will be with the sign less than(<). Also, we see that the line is broken and this means that the line doesn't include equal to "=" sign.

Thus, the correct inequality is;

y < -3x + 4

Answer:

The answer is D.

Step-by-step explanation:

I’m am so lost right now

Answers

B or C i’m not sure though

Can someone help
√64
√49
3√-27
3√8

Answers

8, 7, undefined, 6*sqrt *2

line z has a slope of 2.5 and goes through point (4,13) .which equation best represents line Z​

Answers

Answer:

where are the options

Step-by-step explanation:

What are the options so we can help you does the question come with options

You have only $5 bills and $2 bills in your pocket. If you have ten bills totaling
$23, how many of each do you have?

Answers

one $5 and 9 $2 because 2x9 is 18 and 18+5 is 23

What is the height of the cone?​

Answers

Answer:

22 feet

Step-by-step explanation:

height is 22 feet

32 ft. I added 14ft + 18ft and got 32ft. I apologize if I was incorrect.

Martha earned $180 during the summer doing chores. She bought 3 books worth $14 each using her chore money. How much money was left after she bought the books?

$42
$46
$135
$138

Answers

Answer:

The answer is 42 dollars trust me give me brainliest pls

Step-by-step explanation:

I’m a GOAT in math

Simplify: −12 • −4

A. −4,816
B. −16
C. 16
D. 48

Answers

D hope this helps!



Can I have brainlyest? Pls
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