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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Find all of the zeros of f(x)=x^4+5x^3-8x-40
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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)
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A(x) = l(x) ∙ w(x)
The resulting polynomial for A(x) will have a constant term of 10
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Answer:
The answers are
°the resulting polynomial for A(x) will be a 4th degree polynomial
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°A(x)= l(x)·w(x)
I did the algebra CFU so trust me it's correct ;)
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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
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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How many gallons equal 8 quarts?
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4 gallons
12 gallons
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its 2 gallons
4 would be 16
12 would be 48
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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:
how many miles are in 234,230 feet ?
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Answer:
in 234,230 feet there are 44.36 miles
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
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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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
Which expression has a value of -8?
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Answers
Answer:
H
Step-by-step explanation:
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Answers
Answer:
The True answer is -2>-3
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Answers
Answer:
z= -7.5
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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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.
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P = 3 / 8
P = 0.375
The probability of spinning C will be 3/8 or 0375.
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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:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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There are 18 classes at Jerome Elementary. There are 23 students in each class.
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<
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Calculate the slope between the points: (4, -9) and (5, 1)
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Answers
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Answers
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The sencond is wrong but the first is good
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
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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
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c= -5
Thus, the equation of the line is y= -2x -5.
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