# Detailed Explanation to Linear equations

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Answer following questions showing your work for all problems.

Part I

Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.

a. Y = 3X2

b. (X-1)2 + (Y-8)2 = 16

c. (X+2)2 + (Y-4)2 = 36

d. Y = X2 + X

Part II

Find the equation for each of the following items below:

a. A line that passes through (6,26) and has a slope of 3.

b. A line that passes though the points (5,5) and (10,20)

c. A line that passes through (9,25) and has a slope of -3.

d. A line that passes through (1,1) and is perpendicular to the line 4x+6Y=18.

e. A circle with a radius of 4 and a midpoint at (2,2)

Part III

Solve for the following items:

a. The point on the x-axis that is equidistant (equal distance) from (8,4) and (-4,2).

b. The distance between the points (8,2) and (16,2).

c. The distance between the points (2,6) and (12,8).

d. The midpoint between (8,2) and (10,6)

e. The midpoint between (-4, 2) and (-5, 3)

Assignment Expectations:

Show a clear understanding of graphing in a two dimensional plane by describing the graph of equations.

Solve for linear equations given two points.

Calculate midpoints between two points without error.

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##### Solution Summary

Calculate midpoints between two points without error.

###### Education

- BSc, Meerut University
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- MPhil, Institute of Advanced Studies
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