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)
Answers
B.) y-5 = 3(x-3) or y-14 = 3(x-6)
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
1. Given f(x) = 3x – 2 what is f (2x)?
Answers
Answer:
6x-2
Step-by-step explanation:
1. Mona sells previously enjoyed rare CDs for $5/ea. and rare vinyl records for $7/ea. She sold a total of 1,200 CDs and records in a particular month, with total sales of $6,760. So:
a. What is the equation? Solve it.
b. How many CDs and records were sold?
c. What were the total dollar sales of each?
hi guys i hope you can help me to answer this question! thanks
Answers
Answer:
C or A
Step-by-step explanation:
I think this is write
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
Answers
The slope of the line is - 3 and the y - intercept of the line is - 2.
What is Equation of line?The equation of line 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;
The equation of line is,
⇒ y = - 3x - 2
We know that;
The slope - intercept form of the equation of line is,
⇒ y = mx + b
Where, m is slope and b is y - intercept.
So, By comparing we get;
The slope (m) of the line = - 3
And, the y - intercept of the line = - 2.
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Jackson wants to divide a 2/5 pound box of trail mix into small bags. Each of the bags
will hold 1/10 pound of trail mix. How many bags of trail mix can Jackson fill?
Answers
Answer:
4 bags.
Step-by-step explanation:
1/10 is already good, but you need to multiply 2/5 by 2 to get 4/10, and then it's self-explanatory from there
How many gallons equal 8 quarts?
2 gallons
4 gallons
12 gallons
32 gallon
Answers
its 2 gallons
4 would be 16
12 would be 48
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help me please i need the answer now please help
Answers
Given problem:
What is the value of x = ?
Solution:
Angle on a straight line is 180°
Sum of angles in a triangle = 180°
Now to solve the problem, we need to find the two internal angles first;
For the first one;
let us say it is y;
163 + y = 180
y = 180 - 163 = 17°
For the second, assume it is z;
69 + z = 180
z = 180 -69 = 111°
The sum of the internal angles of the triangle;
y + z + 2x = 180
17 + 111 + 2x = 180
2x = 180 - 128
2x = 52
x = [tex]\frac{52}{2}[/tex] = 26
The value of x is 26
The diagram below shows y as a functional of x, True or False?
A)True
B)False
Answers
Answer:
False
Step-by-step explanation:
A function can't have 2 y-intercepts so y is not a function of x
Answer:
I believe it is A.
step-by-step explanation:
Because on the grid it is the Y corrdinate and the X coordinate so I belive it id True.
Hope it helps!
Have a brainly day! :D
Find all of the zeros of f(x)=x^4+5x^3-8x-40
Answers
Calculate the slope between the points: (4, -9) and (5, 1)
a
m=10
b
m=1/10
с
m=-10
d
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Answers
Answer:
The answer is A- m=10
Step-by-step explanation:
The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4 = 1. 10 over 1, or 10 / 1, equals 10.
Plz help! Are they right? The questions are below!
Answers
Answer:
The sencond is wrong but the first is good
Step-by-step explanation:
how many miles are in 234,230 feet ?
Answers
Answer:
in 234,230 feet there are 44.36 miles
When Rd 105 is divided into two parts in the ratio of2:5 how much money will be in first part
Answers
Answer:
30
Step-by-step explanation:
2x+5x= 105
7x= 105
x= 105/7
x= 15
First part= 2x= 2(15)= 30
This is for all you billie eilish fans so if your not a billie eilish fan move along
When is her birthday ?
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Answer:
December 18, 2001
Step-by-step explanation:
Answer:
December 18 two years older than me almost lol im about to be 18 soon
Step-by-step explanation:
8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girls
Answers
Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me
Step-by-step explanation:
what is the cost price of an article which when sold at Rs 10260 gives a profit of 20%?
Answers
Answer:
8208 Rs
Step-by-step explanation:
Rs: 10260
Profit 20%
10260 * 0.20 * 100% = 2052 Rs
10260 Rs - 2052 Rs = cost of product to be produced
CP: Rs 10260
Profit: 20%
Solution: 20% off 10260 is equal to (20 x 20) / 100 = 2052. So if you buy an item at $10260 with 20% discounts, you will pay $8208 and get 2052 cashback rewards
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Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because all the other ones are equal to x < -5/3 while only B wasn't and it was x > -5/3
Choose the true statement.
-2 > -3
-2 < -3
-2 = -3
Answers
Answer:
The True answer is -2>-3
What is the distance from. P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answers
Answer:
-5
Step-by-step explanation:
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There are 18 classes at Jerome Elementary. There are 23 students in each class.
Select all of the expressions that are not good ways to use compatible numbers
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B. 20 x 20
<
C. 20 x 25
D. 10 x 20
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3 of 8 Answered
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Answer:
b
c
d
e
Step-by-step explanation:
You work on a concrete crew starting a construction project. Once the pouring begins, it must continue non-stop until it is completed. Your crew will work an 8-hour shift along with two other crews. The total project requires 175,000 yards of concrete. Your supervisor estimates that each crew will pour around 1200 yards per hour. How many consecutive days should you plan to work on this project?
A3
B.6
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D. 27
Answers
Answer: B. 6
Step-by-step explanation:
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Answers
Answer:
I did the entire thing I attached the picture for it !! hope this helps !!
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Samuel needs to mail a package to his friend in New York. He places an address label with the length represented by
the function l(x) = 3x
3 + 2x
2 − 4x + 5 and the width represented by the function w(x) = x + 2.
Part A: Find the area of the label.
Part B: Which of the following statements are true about the area of the label? Select ALL that apply.
A(x) = l(x) + w(x)
The resulting polynomial for A(x) will be a 4th degree polynomial
l(x) =
A(x)
w(x)
The resulting polynomial for A(x) will have a leading coefficient of 6
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The resulting polynomial for A(x) will have a constant term of 10
Answers
Answer:
The answers are
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I did the algebra CFU so trust me it's correct ;)
2. Rena mixes i cup of blue paint for every cup of red paint to make purple paint.
Enter the number of cups of red paint Rena mixes with 1 cup of blue paint.
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How do you solve 60/5/90 can anyone divide that, please I will give brainliest
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Answer:
Step-by-step explanation:
60/5 is 12
12/90 is .133repeated
Which expression has a value of -8?
F 10 + (-2)
G -10 + (-2)
H -10 + 2
J 10 -(-2)
Answers
Answer:
H
Step-by-step explanation:
What is the probability of spinning a C?
Answers
Answer: 37.5%
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3/8 = 0.375 = 37.5%
Hope this helps!
The probability of spinning C will be 3/8 or 0375.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The spinner has eight equal section. And the 8 sections are marked as A, B, B, B, A, C, C, and C.
Then the total number of the event will be
Total event = 8 {A, B, B, B, A, C, C, C.}
Then the probability of spinning C will be
The favorable event will be
Favorable event = 3 {C, C, C}
P = 3 / 8
P = 0.375
The probability of spinning C will be 3/8 or 0375.
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Is the relation represented in this table a function? Helppp
Answers
Solve this equation. Enter your answer in the box.
3.5z – 2.7z = –6
z= ?
Answers
Answer:
z= -7.5
Step-by-step explanation:
subtract 3.5 from 2.7 = .8
.8z = -6
divide .8 from each side
z= -7.5
Answer:
-7.5
Step-by-step explanation:
12x + 8y = 24 Convert from standard form to slope-intercept form.
Answers
The required equation is y = -(3/2)x + 3 in slope-intercept form.
What is the standard form of linear equations?A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.
For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.
The equation is given in the question, as follows:
12x + 8y = 24
Isolate the variable of y for the above equation,
8y = - 12x + 24
Divided both sides by 8 into the equation,
y = - (12x)/8 + (24)/8
y = -(3/2)x + 3
This equation is in slope-intercept form.
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Write the slope-intercept form of the equation of the line described.
Through (-2, -1) and parallel to y=-2x-1
Answers
Answer:
y= -2x -5
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Parallel lines have the same slope.
Thus, to find the value of the slope of the line, we have to find the slope of the given line.
y= -2x -1
Since the coefficient of x is -2 and the equation is already in slope-intercept form, the slope of the given line is -2.
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -2, y= -1,
-1= -2(-2) +c
-1= 4 +c
c= -1 -4 (-4 on both sides)
c= -5
Thus, the equation of the line is y= -2x -5.