Alg_Complete

# Therefore the two lines are neither parallel nor

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Unformatted text preview: uation. 9 ( x + 2) 5 9 18 = 4- x5 5 9 2 = - x+ 5 5 y = 4- Here is the second equation. 9 ( x - 3) 5 9 27 = -5 - x + 5 5 9 2 =- x+ 5 5 y = -5 - So, sure enough they are the same equation. The final special form of the equation of the line is probably the one that most people are familiar with. It is the slope-intercept form. In this case if we know that a line has slope m and has a yintercept of ( 0, b ) then the slope-intercept form of the equation of the line is, y = mx + b This form is particularly useful for graphing lines. Let’s take a look at a couple of examples. © 2007 Paul Dawkins 164 http://tutorial.math.lamar.edu/terms.aspx College Algebra Example 3 Determine the slope of each of the following equations and sketch the graph of the line. (a) 2 y - 6 x = -2 [Solution] (b) 3 y + 4 x = 6 [Solution] Solution Okay, to get the slope we’ll first put each of these in slope-intercept form and then the slope will simply be the coefficient of the x (including sign). To graph the line we know the y-i...
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## This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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