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2 answers:
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Answer:
y = 3x + 5
Step-by-step explanation:
1) First, find the slope between the pair of points. Use the slope formula . Substitute the x and y values of points A and B into the formula and simplify:
So, the slope is 3.
2) Now, identify the y-intercept of the line, or the point at which the line intersects the y-axis. All points on the y-axis have an x-value of 0. We're told that (0,5) is a point the line intersects, and since it has an x-value of 0, that must be the y-intercept.
3) Using slope-intercept format, represented by the equation , write the equation of the line. Remember that the number in place of
, or the coefficient of the x-term, is the slope. So, substitute 3 for
. Also, remember that
represents the y-intercept of a line, so substitute 5 in its place, too. This gives the following answer:
The running time for an input size of 1000 will be 25 seconds.
To calculate the runtime of the Algorithm we need to know what an Algorithm is and how its runtime works.
<h3>What is the runtime of an Algorithm?</h3>A finite sequence of rigorous instructions, used to solve a critical problem of a specific class or for computational purposes is called an Algorithm. The time taken to complete the said task is called the runtime of an Algorithm.
Let us now solve the question about linear running time of an algorithm.
Input size()=200
Time taken()=5 seconds
Final input size()=1000
Let the final time taken be T.
Now we know that:
Substituting the values we get seconds .
Therefore the linear running time for an input size of 1000 is 25 seconds.
To know more about Algorithm:
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