Find the equation of a line that passes through points (9,3) and (-6,5)?

Answers

Answer 1

Answer:

Y= X - 31.5

Step-by-step explanation:

find the gradient then the equation

Answer 2

Answer:

y-3 = -2/15 (x-9)

Step-by-step explanation:

First, we should find the gradient, m, which is [tex]\frac{rise (change.in.the.y.value)}{run (change.in.the.x.value)}[/tex]

This is [tex]\frac{3-5}{9-(-6)} =-\frac{2}{15}[/tex]

A linear (straight) line has a general equation y=mx+c

y = [tex]-\frac{2}{15\\}[/tex]x+c

We can rewrite the equation into the general form:

y-y1 = m(x-x1)

where y1 is the value of a y coordinate and x1 is the x value of the coordinate that the y1 value was taken from.

This stems from the idea that 0 = 0.

To make that equation true, we can make both sides equal to 0.

To do that, y - y1 has to be - and x-x1 has to be zero. m can be ignored as anything multiplied by 0 is 0.

Up until here, y1 and x1 are arbitrary constants. They are values that we have to find. However, we don't actually. We have coordinates that the x and y will equal to. (9,3)

Because 9 - 9 = 0 and 3 - 3 = 0, we can state that the value of y1 is 3 and x1 is 9.

Hence, the equation is y-3 = -2/15 (x-9)

You can rearrange the equation to make it into the form y = mx + c, but this is usually not necessary.

I hope this helped.  


Related Questions

What is the solution to the equation

Answers

Answer:

a = 3/4

Step-by-step explanation:

3/4 is your correct answer

Please help and write a proper answer I really need it. Thanks.

Answers

Answer:The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a cone is S=πr2+πrl, where r is the radius of the base and l is the slant height.

Step-by-step explanation:

Answer:

A cone is 360 triangles rotated in a circle, so find the hypotenuse of the triangle and multiplying it by 360 you would get the surface area of the cone

(っ◔◡◔)っ ♥ Hope It Helps ♥

HELP me pleaseeeee this is a hard question for me

Answers

Answer:

maybe its c?

Step-by-step explanation:

The rabbit population in Scott County, which is currently at 2,900 rabbits, is increasing by
10% each year. How many rabbits will there be in 8 years?
If necessary, round your answer to the nearest whole number.

Answers

Answer:

6216

Step-by-step explanation:

This problem deals with exponential growth.

Final value: F

Present (initial) value: P

Rate of growth: r

Time in years = t

[tex] F = P(1 + r)^t [/tex]

[tex] F = 2900(1 + 0.1)^8 [/tex]

[tex] F = 6216 [/tex]

Answer: 6216

hurryy pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

the answer is answer 3

I also need help with this one please

Answers

12 + (9^2/3)
12 + 27
39
I hope this helps :)

Plz show me how to do this step by step.

Answers

9514 1404 393

Answer:

  4 ft = height

  10 ft = base

Step-by-step explanation:

The area of a triangle is given by ...

  A = 1/2bh

Filling in the given value, we get the relation ...

  20 = 1/2bh

  40 = bh

We know the factors of 40 are ...

  40 = 1×40 = 2×20 = 4×10 = 5×8

Of the numbers that area available, only the pair 4×10 will give the desired result.

The height is 4 ft; the base is 10 ft.

Here are the prices (in thousands) for 10 houses for sale in a local neighborhood: 285,288,289,290,299,300,308,309,312,314 . Which measure should be used to summarize the data

Answers

Answer:

Mean and Median

Step-by-step explanation:

Given the data :

285,288,289,290,299,300,308,309,312,314

To summarize the data using a measure of centre, considering that the dataset doesn't show a great deal of variation we could use either the mean or median value.

The mean, x = Σx / n

n = sample size = 10

Σx = 2994 ; n = 10

x = 2994 / 10 = 299.4

Also the median value ;

1/2 * (n + 1)th term

1/2 * (10 + 1)th term

1/2 * 11

= 5.5 th term

= (5 + 6)th / 2

= (299 + 300) / 2

= 299.5

You pay $22 for a pair of shorts after a 15% discount. What is the original price of the shorts? Round to nearest cent.

Answers

15$
I know it’s 10.23C

Answer:

$25.88

Step-by-step explanation:

First, you find the amount that was discounted, which was about $3.88. Then you add that to your discounted price.

A triangle has two sides of length 20 and 11. What is the largest possible whole-number length for the third side?

Answers

Answer:

30

Step-by-step explanation:

20+11=31

It can't be exactly 31 but it can be any number less than 31, so the nearest whole number down is 30

pls help! you don't have to do all of them (but if you can pls help me on all)

Answers

Answer:

#12.) 3m+2=17

3(5)+2=17

5*3=15

15+2=17

Step-by-step explanation:

Answer:

3 x 2 + 5 - 4 = 7 if its not 7 then try 15 most likely 7

m = 5 its already given on the top or its 17

7 x 5 - 2 > 12, m = 5 or the answer is 33 for the left side

for this you need to draw an empty circle on two and make the line bold starting from 2 to the 10.

3(x-1)+x=4(x+2)

what does x equal?

Answers

Answer: should be no solution

Step-by-step explanation:

There are no values of x

that make the equation true.

What’s is the volume, Length: 4, Width: 3 3/4, Height: 6 HELP ME GIVING 10 POINTS

Answers

Answer:

huh thats 5

Step-by-step explanation:

I would be clad to but I don't have time to sorry

not sorry  also

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and why would I want to do that its not that hard lol XD

2[32-(4-1)³] answer.​

Answers

Answer:

3^5/3

log(1/2)

log2(16)

Step-by-step explanation:

u.

Using the line AB, name two line segments.

1. AB, CB
2. AB, C
3. CB, B
4. A, B

Answers

The answer to your question is number 1

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes this transformation? F.(x, y) → (x — 5, y — 3) G.(x, y) → (x + 5, y + 3) H.(x, y) → (x — 3, y — 5) J.(x, y) → (x + 3, y + 5)

Answers

Answer:

G.(x, y) → (x+5, y+3)

Step-by-step explanation:

The rule would be (x+5, y+3) and the only one with that rule is G.

find the value of x and y in the parallelogram

Answers

Answer:

x = 26, y = 11

Step-by-step explanation:

opposite sides are equal

Answer:

y=11

x-2=24

x=26

..............

Giving brainlist to whoever answers

Answers

Answer:

17 1/2 i think

Step-by-step explanation:

If you change the sign of a point's x-coordinate, how does the location of the point change? CLEAR CHECK The point moves down and to the left. The point crosses over the x-axis. The point crosses over the y-axis. Not enough information is provided.

Answers

Answer:

The point crosses over the y-axis

Step-by-step explanation:

Given

A change in the sign of x coordinate

Required

The effect on the point location

Assume the coordinate to be (x,y).

The above point is located in the first quadrant,

When the x value changes to negative i.e. (-x,y)

The point moves from the first quadrant to the second quadrant

This implies that, the point crosses over the y-axis.

Similarly, assume the coordinate to be (-x,-y).

The above point is located in the third quadrant,

When the x value changes i.e. (x,-y)

The point moves from the first quadrant to the fourth quadrant

This implies that, the point crosses over the y-axis.

There are 60 students in the gym, and there are an equal number of students in each class. If five classes are gym how many students are in each class

Answers

Answer:

12

Step-by-step explanation:

60/5 = 12

12 students in each class

Im confused about this and I need someone to help me please and help the explain the answer ​

Answers

Answer: I'm sorry but your link isn't valid. I would help you but I can't see the picture.

Step-by-step explanation:

Answer:

Andre budgets 312 dollars more for Groceries and Utilities than for savings.

Step-by-step explanation:

1.) Add the 15% and 9% to get 24% for Groceries and Utilities combined.

2.) The value of 24% of 5200 $1248 and the value of 18% (for savings.) is 936.

3.)Subtract 932 from 1240.

A jewelry prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches. What is the width of the box?

Answers

Answer:

volume = (length × Width × height)

(567/2) = (9×) × (17/4) × (w)

283.5 = 38.25w

w= 7.41inches

Please do correctly! I will mark you Brainliest!

Answers

Answer:

3(4+√2)

Step-by-step explanation:

Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .

• Using Pythagoras Theorem :-

⇒ h² = p² + b²

⇒ h² = 3² + 3²

⇒ h² = 9 + 9

⇒ h² = 18

⇒ h = √[ 9 × 2 ]

h = 3√2 .

Therefore the perimeter will be ,

⇒ P = 3√2 + 3 + 3 + 3 + 3

⇒ P = 3√2 + 12

P = 3( 4 + 2)

Hence the perimeter of the figure is 3(4+√2) .

If a tennis ball has a diameter of 14.6, and is cut in half. What is the volume of the half of the tennis ball? Use 3.14 for pi.

Answers

the half of 14.6 is 7.3 and you times it by 3.14 and its 22.922 i think

4. Marcy plans to save $3 in January, 54 in February, S6 in March, and $9 in April. If she continues this pattern, how much money will she save in December?​

Answers

March? U mean mary* well mary will receive Jesus in December

A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.
trial
result
1
10101
2
11010
3
00011
4
11111
5
10011
Based on these results, estimate the probability that 3 or more kicks are made.

Answers

Answer:

You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.

Step-by-step explanation:

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

What is simulation?

Simulation is the process of creating a computer model or a physical system that behaves like a real-world system or process, in order to study its behavior or performance under various conditions.

We have,

To estimate the probability that 3 or more kicks are made, we need to count the number of trials in which 3, 4, or 5 kicks were made, and divide that by the total number of trials (which is 5 in this case).

From the table,

We can see that there are three trials in which 3 kicks were made

(trials 1, 3, and 5), one trial in which 4 kicks were made (trial 4), and no trials in which all 5 kicks were made.

The total number of trials in which 3 or more kicks were made is:

= 3 + 1 + 0

= 4

To estimate the probability, we divide the number of successful trials by the total number of trials:

P(3 or more kicks made) ≈ 4/5

Therefore,

We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.

Learn more about simulations here:

https://brainly.com/question/16359096

#SPJ2

Please help!!!!!!!!!!!!!!!!!

Answers

Answer:

Hello! Is there a picture so I can answer this?

Step-by-step explanation:

Tell me, then I'll answer!

Mhanifa please help! Solve each proportion. Round your answer to the nearest hundreth

Answers

Answer:

5) m/5 = 7/2 ⇒ m = 5*7/2 ⇒ m = 35/26) 7/4 = r/5 ⇒ r = 5*7/4 ⇒ r = 35/47) 7/6 = 5/x ⇒ x = 5*6/7 ⇒ x = 30/78) 6/5 = 2/(5n) ⇒ 5n*6 = 5*2 ⇒ n = 10/30 ⇒ n = 1/3

Solve the equation. Round your answer to the nearest 10th if necessary

p2 + 24 = 159

a
12.6
b
11.5
c
12.5
d
11.6

Answers

Answer:

d. 11.6

Step-by-step explanation:

11.6 is the answer. Hope that hels

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{p^2 + 24 = 159}[/tex]

[tex]\large\text{SUBTRACT 24 to BOTH SIDES}[/tex]

[tex]\mathsf{p^2+24-24=159-24}[/tex]

[tex]\large\text{Cancel out: 24 - 24 because that gives you 0}[/tex]

[tex]\large\text{Keep: 159 - 24 because it helps you solve for p}[/tex]

[tex]\mathsf{159 - 24 = \bf 135}[/tex]

[tex]\large\text{New equation: }\mathsf{p^2 =135}[/tex]

[tex]\large\text{TAKE your SQUARE ROOT}[/tex]

[tex]\mathsf{p=\pm 3\sqrt{135}}[/tex]

[tex]\mathsf{\sqrt{135}=3\sqrt{15} \ OR\ -\sqrt{135} = -3\sqrt{15}}[/tex]

[tex]\large\text{Original answer: }\mathsf{\underline{p=3\sqrt{15}\ or\ p = -\sqrt{15}}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge\bf D. 11.6}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Correct answer will be brainliest

Answers

Answer:

Quadrilateral ABCD is a rhombus, because all four sides are congruent and adjacent sides are not perpendicular .

Step-by-step explanation:

Given :

A quadrilateral with its coordinates as follows:

Where  A (3, 1), B (4,4), C (7,5), D (6,2).

We will measure the length of the congruent sides by applying distance formula.

Distance formula = square root (x^2 - x^1)^2 + (y^2 - y^1)^2

So,  

AB = ( insert the coordinates using the formula )

BC = ( insert the coordinates using the formula )  

CD = ( insert the coordinates using the formula )

 

DA = ( insert the coordinates using the formula )

It all equals = squareroot 10

From the above measurement and looking into the diagram we can conclude that the Quadrilateral ABCD is a rhombus.  

In rhombus the adjacent sides are not perpendicular and its diagonals are of different length.

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