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

If a pizza that is 12 inches in diameter provides three full meals, how many meals are provided by a pizza that is 20 inches in diameter?

Answers

Answer:

If 12 inches in diameter can provide 3 full meals then it's obvious that one meal is 4 inches in diameter. So 20 would give 5 full meals.

Step-by-step explanation:

Yeah

In the figure name ALL the angles that are congruent to angle 8.

Answers

The angels that are congruent to 8 are 6, 3, 1.

(-2, 7) and (-2, 14)
Slope

Answers

Answer:

slope is undefined

Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W

Answers

Answer:

C. Graph Z is the correct answer

Step-by-step explanation:

It touches 0,3 and the right line is going towards infinite positive x’s

#plato

The exponent function of the graph will be W.  Then the correct option is D.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ + c

Where c is the intercept.

Let the leading coefficient will be 1.

Then the equation will be

y = (b)ˣ + c

The exponent function has a y-intercept at (0, 3).

Then the exponent function is given as,

y = (b)ˣ + 2

Some points regarding exponent function.

The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).

The exponent function of the graph will be W.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5

2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).

Answers

Answer:

Step-by-step explanation:

First, carry out the indicated multiplication.  We get:

2m/5 - 4/5 + 3/5, which condenses to

                        2m - 1

2m/5- 1/5 or ---------------

                              5

Sophia and Tyler are running around a 400-meter track. They start running from the speed of 4 m/s. How long will it take Sophia to lap Tyler?

Answers

Answer:

100 minutes

Step-by-step explanation:

Given data

Total distaance= 400meters

Speed= 4m/s

We know that the expression for speed is

Speed= distance/time

substitute to find time

4= 400/time

time= 400/4

time= 100 minutes

BRAINLIEST PLUS 30 points if correct! NO LINKS OR WILL REPORT

Answers

Answer:

Do the two data sets have approximately the same center? No.

Which data set has the greater spread? The first one.

Step-by-step explanation:

Hope it helps !!:)

A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?

Answers

Answer:

$18,000

Step-by-step explanation:

Difference in the years is 192000-156000= 36000

To find rate of change, divide the difference by amount of years in difference.

36000/2017-2015

36000/2

Hence, $18000 per year

Hope it helps!

find the least common denominator for the fractions: 5/5, 1/10, 3/4

Answers

Answer:

20

Explanation:

5 10 15 20

10 20

4 8 12 16 20

Answer:

20

Step-by-step explanation:

Let's list some multiples of each denominator

5: 5, 10, 15, 20, 25, 30

10: 10, 20, 30, 40, 50, 60

4: 4, 8, 12, 16, 20, 24, 28

The common denominator (LCD) is 20

So lets input

20 / 20, 2/20, 15/20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

You answer 82% of the questions correctly on a 50-question test. How many questions do you answer incorrectly

Answers

So if each question you miss would drop the percent by 2% then you would missed 9 questions
Answer:9 questions answer incorrectly

What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?

Answers

Answer: (x + 3)^2 + (y - 4)^2 = 49

Step-by-step explanation:

The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2

Given: center (-3,4) ; h = -3 and k = 4

diameter = 14

To find the radius: divide the diameter by 2 = 14/2 = 7 = r

Center: (-3,4) and radius: 7

Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2

Substitute h = -3, k = 4, r = 7

(x - (-3))^2 + (y - 4)^2 = 7^2

Answer:

Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49

A cat can eat 1/4 of a bag of food in 1/2 of a week. How much food can the cat eat in 1 week

Answers

the cat can eat 1 1/4 bag of cat food n 1 month

Answer:

1/2 of a bag in a full week

Step-by-step explanation:

If they can eat a fourth of a bag and a half of a week then they can eat a half of a bag and a full week because to have is 1/4+1/4 which equals 1/2

Examine the quadratic equation 9x^2+12x +4= 0.
A: What is the discriminant of the quadratic equation?
B: Based on the discriminant, how many roots does the equation have?
C: State whether the root(s) are real or complex.

Answers

Answer:

See answers and explanations

Step-by-step explanation:

A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0

B) Since the discriminant is 0, this means the equation only has one root.

C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)

The present price of a motorcycle is
Rs. 2,25,000. If its price is depreciated per year by 8 %, after
how many years will be the price of the motorcycle be
Rs. 1,75,204.80 ? Find it.​

Answers

Answer:

3.25 years

Step-by-step explanation:

The computation of the number of years is shown below:

Given that

PV = $225,000

RATE = 8%

PMT = $0

FV = $175,204.80

The formula is shown below:

= NPER(RATE;PMT;PV;FV;TYPE)

After applying the above formula, the number of years would be 3.25 years

The same would be considered

The equation -x^2+4x-4=0 has no solutions
a. true
b. false

Answers

Answer:

true

Step-by-step explanation:

Let us calculate the determinant of this quadratic equation:

Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0

The equation has one solution

x = -b/2a = 2

B
6x+7
3x+c
2x-1

What is the value of c in degrees

Answers

Answer:

1.x=15

2.<A=29

Step-by-step explanation:

(2x-1)+(3x+9)+(6x+7)=180

2x-1+3x+9+6x+7=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

2.<A=2x-1

  <A=2*15-1

  <A=30-1

  <A=29

   

Can anyone help me please?

Answers

Step-by-step explanation:

5.slope=0

6.equation=y=5

7.slope=undefined(no Slope)

8.equation=x=-1

5.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146

Answers

the volume of cylinder is 3.14 r^2×h

Answer: c

Step-by-step explanation:

Help a girl out Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program. Jamal's family will contribute $21,000 each year. How much will Jamal need to contribute?

Answers

Answer:

Jamal contribution = Total fee - scholarship & grant - study program earnings - family contribution

Step-by-step explanation:

Let total fee = x

Jamal contribution = x - 8200 - 1900 - 21000

= x - 31100

Her fee above & beyond 31100 will have to be arranged by Jamal's own contribution

PLS HELP! DUE TODAY WILL MARK BRAINLIEST
3. Find the measure of arc JK
Hint - arc LK is a semi-circle!
Find arc JK.
A) 90
B) 116
C) 128
D) 130

Answers

Answer:

KJ = 128°

Step-by-step explanation:

JL = 2×26 = 52°

KL= KJ + JL

KJ = KL-JL

KJ = 180° - 52°

KJ = 128°

The solids are similar. Find the volume V of the red solid.

Answers

Your welcome that's from my computer and got it correct

Answer:

13,564.8

Step-by-step explanation:

The ratio of the volumes of similar solids is the cube of the scale factor.

Scale factor:

red solid : blue solid = 12/10 = 6/5

Ratio of volumes:

volume red solid : volume blue solid = (6/5)^3

volume of red solid = 7850 ft^3 * (6/5)^3 = 13,564.8 ft^3

Answer: V = 13,564.8 ft^3

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?

Answers

The formula for the volume is length x height x width. So the answer is 2 x 11 x 15 = 330cm^3

What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely

Answers

Answer:

very likely

Step-by-step explanation:

You roll a number cube once and flip a coin. Find the probability of rolling an even number and flipping tails.

Answers

Answer:

1/4

Step-by-step explanation:

P(even,tails) = 1/2 x 1/2

Please I need an answer asap​

Answers

Answer:

N= 4

Step-by-step explanation:

y^3 * y^n

_______  = y^6    

   y

First we multiply the 2 y's together to get

y^n+3

____         = Y^6

Y

Then we will multiply y to both sides

y^n+3 = y^7

Get rid of y

n+3 = 7

n=4

For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?

Answers

Answer:

11.

Step-by-step explanation:

Find the distance between the points.
(5.10),(5,4)
The distance is

Answers

Answer: 6??

Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)

Answer:

The distance will be √(x2-x1)^2+(y2-y1)^2

=√(5-5)^2+(10-4)^2

=√(0)^2+(6)^2

=√(6)^2

=6 units

Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!

5/6

1/6

2/3

1/2

Answers

Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

A number increased by 7 is 4 less than twice the number. Write the equation and solve

Answers

Answer:

The number must be bigger than 7 for the equation be true

If you put x= 7 or x= 6...it will not be true

Step-by-step explanation:

x+7< 2x

7< x

x> 7

Example x=9          

9+7 < 2x9

16< 18  TRUE

The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A number increased by 7 is 4 less than twice the number.

Let the number be 'x'. Then the inequality is given as,

x + 7 = 4 - 2x

Simplify the equation, then we have

x + 7 = 4 - 2x

x + 2x = 4 - 7

3x = - 3

x = -3/3

x = -1

The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

here you go please do it quick with work

Answers

Answer:

Answer:

5. 18

6. 13.75 all the arrows for 6 is just explaining how 13,75 is the answer

5 2 11 8 35 32

if i helped brainliest is appreciated :)

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