A line passes through (3,5) and (6, 14). What is the equation of the line in point-slope form? O A. y - 5 = 1/3 (x – 3) or y – 14 = 1/3 (x – 6) B. Y- 5 = 3(x – 3) or y – 14 = 3(x – 6) C. y-5 = 19/9 (x – 3) or y – 14 = 19/9 (x – 6) or y - 5 = 9/19 (x – 3) or y – 14 = 9/19 (x – 6)​

A Line Passes Through (3,5) And (6, 14). What Is The Equation Of The Line In Point-slope Form? O A. Y

Answers

Answer 1

B.) y-5 = 3(x-3) or y-14 = 3(x-6)

Answer 2

The equation of line in point slope form is (y - 5) = 3(x - 3) or (y - 14) = 3(x - 6) passing through ( 3 , 5) and (6,14).

What is line ?

" A line is defined as the collection of points in one dimensional plane which represents only one dimension length and can extends to infinity."

Formula used

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

Equation of line : ([tex]y[/tex] - [tex]y_{1}[/tex]) = m([tex]x[/tex] - [tex]x_{1}[/tex])

According to the question

We have

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)

([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)

Substitute the value in the formula  to get slope of line we get,

 m =  14 - 5/6 - 3

      = 9/3

      = 3

Substitute the value in the formula of equation of line we get,

For ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)

(y - 5) = 3(x - 3)

or

For ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)

(y - 14) = 3(x - 6)

Hence, Option (B) is the correct answer.

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Related Questions

What is the value of the 5 in the number 4,567,433?

Answers

500,000
or
five hundred thousandth

hope this helps!

Answer:

it is 5 hundred thousand so thousands place

Step-by-step explanation:

What was the distance from P to n, shown in the figure?

A. -3
B. 1
C. 4
D. 5​

Answers

Answer:

D. 5

Step-by-step explanation:

Assuming 1 box = 1 unit on the coordinate grid, therefore:

Coordinate of point P on the graph = 1

Coordinate of the point at which the ray from point P meets at line n = -4

Distance from P to n = |1 - (-4)|

= |1 + 4|

Distance from P to n = 5 units

The answer is D. 5

Mrs. Lopez found a dining table on sale for 45% off. If the
original price was $1,250, how much did she pay for it?

Answers

Answer:

$687.50

Step-by-step explanation:

Answer:

it would be 562.50 because i used the calculator

Step-by-step explanation:

what is 3n-22= -20​

Answers

Answer:

n = 2/3

Step-by-step explanation:

3n - 22 = -20

Add 22 to both sides

-20 + 22 = 2

3n = 2

Divide both sides by 3

2 / 3 = 2/3

n = 2/3

Let me know if I've done something wrong :)

Answer:

[tex]n = \frac{2}{3}[/tex]

Step-by-step explanation:

Add 22 to each side, so it now looks like this: 3n = 2Divide each side by 3 to cancel out the 3 next to n. It should now look like this: [tex]n = \frac{2}{3}[/tex]  

I hope this helps!

bruh someone help me

Answers

Answer:

Think about it this way: The x axis goes from left to right, correct? So just try to visualize actually picking up the object and flipping it over that axis. So since one tip of the triangle is on the coordinate (1,1), after reflecting the shape that same tip would be on (1,-1). You understand?

HELP ASAP SOS!!!
QUESTION : write a 4 step proof that triangle ABD is congruent to ABD

Answers

Here are a few reasons:

The triangles have the same three sides

The triangles have the same three angles

The triangles could perfect overlap one another

They have corresponding angles.

Not sure if this helped but I hope so!

Find the slope of the line going through the points (-4, 2) and
(3,5).

Answers

Answer:

The answer is 3/7

Step-by-step explanation:

- y - 7x = 6
y + 7x = 8

Answers

Answer:

7 ,x is 1/7

Step-by-step explanation:

plss put me b plsss

Can someone one help me with this ?

Answers

C :) because all other fraction are 1> or 1

Answer:

Step-by-step explanation:

It should be c

Can anyone solve this

Answers

Answer:

the answer is the last one. hope this helped.

Step-by-step explanation:

The last one is the answer

i hate math someone knows this please help me this is so diffcult my teacher doesn't explain anything​

Answers

Answer: What is this for (Like what app)

Step-by-step explanation:

The Answer is 13/48 hope this helps mark as brainliest plz.

Answer:

13/48

Step-by-step explanation:

Hope this helps

4х – 8y = 2
6x - 12y = 3

Answers

Answer:

1. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

2. Slope=  

2.000

1.000

​  

=0.500

x−intercept=  

2

1

​  

=0.50000

y−intercept=  

−4

1

​  

=−0.25000

Hope this helps!

Evaluate 2a+7b if a = 5 and b = 3

Answers

Answer:

31

Step-by-step explanation:

2(5) + 7(3) =31

2x5 = 10

7x3 = 21

10+21 = 31

Answer:

The answer is 31

Step-by-step explanation:

Plug the numbers for the variables into the equation.

2×5+7×3

Multiply

10+21

Add

10+21 = 31

Select the correct answer from each drop-down menu. Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes Lisa makes in h hours is n(h) = . The cost function in terms of hours, h, is given by . Lisa's cost for making cupcakes for 2 hours is .

Answers

Answer:

Step-by-step explanation:

from the question, we are told that Lisa bakes 3dozens cupcakes every hour, to know the amount she makes in h hours, we will use the equality postulate as shown;.

3 dozens = 1hour

n(h) = h hour

Cross multiply

n(h) × 1 = 3×h

n(h) = 3h

Hence the function that models the number of cupcakes Lisa makes in h hours is n(h) = 3h

To get the cost function in terms of hours, we will find the composite function C(n(h))

C(n(h)) = C(3h)

Given C(n) = 60 + 0.45n

C(3h) is derived by substituting n as 3h in the function as shown;

C(3h) = 60+0.45(3h)

C(3h) = 60+1.35h

Hence the cost function in terms of hours, h, is given by 60+1.35h

To get the cost for making cupcakes for 2 hours, we will substitute h = 2 into the expression C(h) = 60+1.35h

C(2) = 60+1.35(2)

C(2) = 60+2.70

C(2) = 62.70

Hence the cost for making cupcakes for 2 hours is $62.70

Answer:

The function that models the number of cupcakes Lisa makes in h hours is n(h) = 36h. The cost function in terms of hours, h, is given by 60 + 16.2h. Lisa's cost for making cupcakes for 2 hours is $92.40

.

Step-by-step explanation:

Which point is located on the x-axis?
(-5, 1)
(0, 5)
(1, 0)
(2, 2)

Answers

(1,0)
EXPLANATION:
the horizontal line is x, the vertical line is y.
so you go up one(1 is positive in this case) and right 0(you don’t move) so it stays in the X axis

Answer:

the correct answer is c

Step-by-step explanation:

edg

Which function is graphed on the coordinate plane below?

f(x) = 2x – 6
f(x) = 2x + 6
f(x) = –2x + 6
f(x) = –2x – 6

Answers

Answer:

b

Step-by-step explanation:

The correct function is graphed on the coordinate plane is,

⇒ y = 2x - 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (3, 0) and (4, 2).

Now,

Since, The equation of line passes through the points (3, 0) and (4, 2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (2 - 0) / (4 - 3)

m = 2 / 1

m = 2

Thus, The equation of line with slope 2 is,

⇒ y - 0 = 2 (x - 3)

⇒ y = 2x - 6

Therefore, The equation of line passes through the points 3, 0) and (4, 2). will be;

⇒ y = 2x - 6

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10 oranges and 20 grapefruits weigh 35 pounds total. 16 oranges and 10
grapefruits weigh 23 pounds total. How much would 13 oranges and 15
grapefruits weigh?
A 28 pounds
B 29 pounds
C 30 pounds
D 58 pounds

Answers

Answer:

B

Step-by-step explanation:

oranges weigh 0.5 and grapefruits weigh 1.5

The required: 13 oranges and 15 grapefruits would weigh 29 pounds.

The correct option is A.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Let's use a system of equations to solve this problem:

Let's call the weight of an orange "x" and the weight of a grapefruit "y". Then we can write:

10x + 20y = 35 (equation 1)

16x + 10y = 23 (equation 2)

We want to find the weight of 13 oranges and 15 grapefruits, which we can represent as:

13x + 15y

In this case, we can multiply equation 1 by -8 and equation 2 by 15:

-80x - 160y = -280 (equation 1, multiplied by -8)

240x + 150y = 345 (equation 2, multiplied by 15)

Now we can add the two equations to eliminate y:

160x = 65

Solving for x, we get:

x = 65/160

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use equation 1:

10(65/160) + 20y = 35

Simplifying this equation, we get:

13/32 + 2y/4 = 7/2

Multiplying both sides by 32, we get:

13 + 16y = 112

Solving for y, we get:

y = 99/16

Finally, we can substitute these values of x and y into the expression for 13 oranges and 15 grapefruits:

13x + 15y = 13(65/160) + 15(99/16) = 29.0625

Therefore, 13 oranges and 15 grapefruits would weigh approximately 29.0625 pounds, which is closest to answer B, 29 pounds.

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please help I am struggling with these problems​

Answers

It is the first option

Both lines on the graph represent proportional relationships. What is the constant
of proportionality for each relationship? Explain how you know.

Answers

Answer:

k = 3 and k = 1

Step-by-step explanation:

Given that the relationship is proportional then the equation relating the quantities is

y = kx ← k is the constant of proportion

To find k divide both sides by x , then

k = [tex]\frac{y}{x}[/tex]

For graph a use the point (2, 6 ), then

k = [tex]\frac{6}{2}[/tex] = 3

For graph b use the point (4, 4 ), then

k = [tex]\frac{4}{4}[/tex] = 1

Dustin surveyed 50 students at his school about their music preferences. The results are shown in the table. There are a total of 722 students at Justin‘s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?

Answers

Answer:240 thank me later -Amanda wlms

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

1. what statement best represents the angle pair relationship for angle aoc and boc

2. what statement best represents the angle pair relationship for angle aoc and bod

Answers

Answer:

AOC and BOC is complementary angles.

AOC and BOD is supplementary angles

Step-by-step explanation:

(n+8)+(n-12) solve plz help me!!!!

Answers

Answer:

2n-4

Step-by-step explanation:

Answer:

2n -4

Step-by-step explanation:

1. Remove the parenthesis

n + 8 + n - 12

2. Simplify

n + 8 + n - 12 = 2n -4

which term can be combined with 3x? option 1 2xy option 2 2x^2 option 3 -5x option 4 -10

Answers

Answer:

3-5x

Step-by-step explanation:

Can someone help Please??????

Answers

Answer:

the answer is C, 0

Answer:

C) 0

Step-by-step explanation:

7(x + 2) = 7x - 10

First, we multiply within the parenthesis

7x + 2 = 7x - 10

Add 10 to both sides of the equation

7x + 12 = 7x

Subtract 7x from both sides of the equation

12 = 0

Because the answer is 0, that means there are 0 solutions and the equation can not be solved.

I hope that this helps! :)

Which One Is it ? .....

Answers

The 2nd one is the correct answer

What is the slope of 1.5x+4.5y=18 ,and how do you know?​

Answers

Answer:

m=-1/3

Step-by-step explanation:

The slope of this line is m=-1/3 because if you use the slope-intercept formula, y=mx+b, m is the slope. If you take this equation and plot two points on a line that has this equation, the slope will be negative if the line forms an obtuse angle on the 0 line. In this case, m=-1/3 as the line goes back 1/3 unit for every unit in this equation. Hope it helps!

Answer:  the slope is -0.33...   The does means that 3 is repeating.

Step-by-step explanation:

First we will convert the equation into slope intercept form, which is the same way of solving for y in the equation.

1.5x + 4.5y = 18     Solve for y by first subtracting 1.5x from both sides

-1.5x               -1.5x

4.5y  = 18 - 1.5x     Now divide both sides by 4.5

y= 4- 0.33x

y= -0.33x + 4    Now the slope is the coefficient of the variable x which is the number that comes after the variable.

In this case, the slope is -0.33...

again my sisters overdue test someone pls just help I’m doing my math and art homework and can’t help her jggvgrcrvgb

Answers

Answer:

She should get $23.6 in change

Step-by-step explanation:

You add the two items she bought which makes up $89.94, then you subtract the discount of $13.50, which leaves you with 76.44 to pay. If you pay with a 100 dollar bill, you subtract 76.44 from 100 in order to find out how much change you recieve.

Answer:

Step-by-step explanation:

100-((39.95+49.99)-13.50)=

100-(89.94-13.50)=

100-76.44=

23.56

You have to add the amount she is paying for the total then subtract that by the discount. Then subtract how much she gave them by the cost to get the change!

i will give u brainliest

Answers

Answer:

Quotient: 7

Remainder: around .16

Step-by-step explanation:

Answer:

quotient : 7         remainder:1

Step-by-step explanation:

43 / 6 = 7.17

7 x 6 = 42

43 - 42 = 1

hope that helps :)

what is 5 times 7 pls help ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Thanks you so much making as brainlist

Answer:

5 times 7 is 35.

Solve: Sin(11 pi/2 + x) = -1/2 for [Pi, 2Pi].
StartFraction 4 pi Over 3 EndFraction
StartFraction 5 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 11 pi Over 6 EndFraction

Answers

Answer: B

The answer above is correct. It would be 5pi/3.

Step-by-step explanation: Edge2021

I just got it right on my quiz.

The value of the x is equal to the 5pi/3.

The expression is

[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]

The value of the given expression.

What is the expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

[tex]\sin \left(11\cdot \frac{\pi }{2}+x\right)=-\frac{1}{2},\:\pi \le \:x\le \:2\pi[/tex]

[tex]11\cdot \frac{\pi }{2}+x=\frac{7\pi }{6}+2\pi n,\:11\cdot \frac{\pi }{2}+x=\frac{11\pi }{6}+2\pi n[/tex]

[tex]x=2\pi n-\frac{13\pi }{3},\:x=2\pi n-\frac{11\pi }{3}[/tex]

[tex]x=\frac{5\pi }{3}[/tex]

Therefore, The value of the x is equal to the 5pi/3.

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