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Mrrafil [7]
2 years ago
12

What is an equation of the line that passes through the point (-2,-3) and is parallel to the line 4x-y=1

Mathematics
2 answers:
Agata [3.3K]2 years ago
4 0

Answer: y = 4x + 5

Step-by-step explanation:

Rearranging 4x-y = 1 we get y = 4x-1 as the equation of the line.

Since the new line is parallel to y=4x-1, that means the slopes are equal. Therefore, the slope of the line is 4.

So, the equation of the line is y = 4x+b

To figure out b, we can plug in the point (-2,-3) into the equation.

So -3 = -2*4 + b

-3 = -8 + b

And we get b = 5.

Therefore, the equation of the line is y = 4x + 5

SVEN [57.7K]2 years ago
4 0

Answer:

y = 4x + 5

Step-by-step explanation:

First, we need to find the slope of the given equation: 4x - y = 1

Subtract 4x from both sides

4x - y = 1

- 4x      - 4x

-y = 1 - 4x

Divide both sides by -1 to make the y variable positive

-y/-1 = (1 - 4x)/-1

y = -1 + 4x

This means the slope of this equation is 4

Our parallel equation will be y = 4x + b

Plug in the given coordinates

-3 = 4(-2) + b

-3 = -8 + b

Add 8 to both sides

-3 = -8 + b

+ 8   + 8

b = 5

Plug in the new b into the original parallel equation

y = 4x + 5

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Answer:

the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26

Step-by-step explanation:

Mean=sum of observation/ No. of observation

={5+8+ 10+ 15 + 22}/5

=60/5=12

Sum of deviations

= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|

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3 years ago
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Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

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So the answer would be 12 +4x

Hope this helps :)

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Which equations below represent lines that are perpendicular to the line that contains (1, -2) and (3, 4)? (CHECK PICS FOR ANSWE
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First, let's find the slope of the line from the points given.

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Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.

Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.

Equation 1: Correct

y = -1/3x - 5

Equation 2: Incorrect

y = 3x - 3

Equation 3: Incorrect

y - 2 = 3(x + 1)

y - 2 = 3x + 1

y = 3x + 2

Equation 4: Correct

x + 3y = 9

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y = -1/3x + 3

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Hope this helps!! :)

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3 years ago
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Answer:

Step-by-step explanation:

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