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goldfiish [28.3K]
3 years ago
9

What is the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1)?

Mathematics
1 answer:
gogolik [260]3 years ago
4 0

Answer:

The equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

y=2x+3

Hence, option D is true.

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the equation

y = 2x - 1

comparing with the slope-intercept form y = mx+b

Hence, the slope of the line y = 2x - 1 is: m = 2

We know that the parallel lines have the same slopes.

Thus, the slope of the equation of the line that is parallel to the linear graph of y = 2x - 1 will also be: 2

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 2 and the point (-1, 1)

y-1=2\left(x-\left(-1\right)\right)

y-1=2\left(x+1\right)

Add 1 to both sides

y-1+1=2\left(x+1\right)+1

Simplify

y=2x+3

Therefore, the equation of the line that is parallel to the linear graph of y = 2x - 1 and passes through the point (-1, 1) will be:

y=2x+3

Hence, option D is true.

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In order to determine the number of squirrels in a conservation area, a researcher catches, and marks 114 squirrels then release
vodomira [7]

Answer:

456 squirrels

Step-by-step explanation:

We have the following formula:

N = M * C / R

Where "N" is the estimated population size, "M" is the number of individuals already tagged, "C" is the total number of those caught the second time regardless of whether or not they are tagged, and "R" is the total number of tagged recaptured individuals.

Now, replacing we have:

N = 114 * 96/24

N = 456

Therefore, there are approximately 456 squirrels in the conservation area.

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B!

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3 years ago
Danny is passing out treats at his sister's birthday party. He has 60 cookies and 72 sticks of gum. Does he have enough to divid
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Select the correct answer.
Butoxors [25]

Answer:

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