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mestny [16]
3 years ago
5

Find the equation of the line through (6,8) which is parallel to the line y=4x−6.

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

y=4x-16

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form: y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope (m)</u>

<u />y=4x-6<u />

4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into y=mx+b:

y=4x+b

<u>2) Determine the y-intercept (b)</u>

y=4x+b

Plug in the given point (6,8) and solve for b

8=4(6)+b\\8=24+b

Subtract 24 from both sides to isolate b

8-24=24+b-24\\-16=b

Therefore, the y-intercept of the line is -16. Plug this back into y=4x+b:

y=4x-16

I hope this helps!

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Step-by-step explanation:

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Answer:

Median is used to describe the center of the data of heights of 50 basketball players.

Step-by-step explanation:

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The advantages of median are

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3) In a highly skewed distribution median is appropriate average to use.

The disadvantages of the mean are

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4. find the value of ‘k’ for which 2x 3y = 4 and (k 2) x 6y = 3k 2 has a infinitely many solutions.
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For the given system of linear equations to give an infinite number of solutions the value of k should be 2.

<h3>What is a Dependent Consistent System of equations?</h3>

A system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

Given the two systems of linear equations,

2x + 3y = 4

(k+ 2)x + 6y = 3k+2

For any system of equations to have infinitely many solutions, the equation of the linear system must be in ratio, so that the lines of the equations overlap each other. Therefore, the ratio for the two of the given equations can be written as,

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Solving the ratio to get the value of k,

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Hence, for the given system of linear equations to give an infinite number of solutions the value of k should be 2.

Learn more about the System of equation here:

brainly.com/question/12895249

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