Monday, January 28, 2013

Standard Lines Chords


Introduction to standard lines chords:

Line is fundamental concept in the mathematics. In geometry, line is straight line curve. Line is representing the straight line object. Geometrical object that is straight, infinitely long is called as line. Line is the one dimension figure. Lines have no height and no width. Lines that linking the two points on the circle is the chords. In this article we see detailed about the standard lines chords. Understanding Skew Lines Examples is always challenging for me but thanks to all math help websites to help me out.

Chords:

One of the geometry line segment is the chord of a circle. The line extension of a chord is the secand line.

Example 1: Standard Lines Chords:

Write the equation of the line that passing through the two points are (7, 10) (8, 13). Calculate the slope value of the given points.

Solution:

Given points are (7, 10) (8, 13)

Formula is used to for calculate the slope value of the given points:

m = `(y_2 - y_1) / (x_2 - x_1)`

Here, x1 = 7, x2 = 10, y1 = 8, y2 = 13

Substitute the given value form the above formula:

m = `(13 - 8)/ (10 - 7)`

m = `(5)/ (3)`

m = 1.67

Slope value of these given points is 1.67.

Example 2: Standard Lines Chords:

Find the equation of the line that passing through the two points are (5, 8) and scope value is -2.

Solution:

Given points are (5, 8)

Straight line equation is:

(y - y1) = m (x - x1)

Here x1 = 5, y1 = 8, m = -2.

Substitute these value form the above formula:

(y - 8) = -2 (x - 5)

(y - 8) = -2x + 10

y = -2x + 10 + 8

y = 2x +18

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Example 3: Standard Lines Chords:

Write the equation of the line that passing through the two points are (8, 15) (10, 17). Calculate the slope value of the given points.

Solution:

Given points are (8, 15) (10, 17)

Formula is used to for calculate the slope value of the given points:

m = `(y_2 - y_1) / (x_2 - x_1)`

Here, x1 = 8, x2 = 15, y1 = 10, y2 = 17

Substitute the given value form the above formula:

m = `(17 - 10)/ (15 - 8)`

m = `(7)/ (7)`

m = 1

Slope value of these given points is 1.

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