Stitz-Zeager_College_Algebra_e-book

Remember to nd the domain of a function we do so

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Unformatted text preview: lane determine a unique line containing those points, as indicated below. P (x0 , y0 ) Q (x1 , y1 ) To give a sense of the ‘steepness’ of the line, we recall we can compute the slope of the line using the formula below. Equation 2.1. The slope m of the line containing the points P (x0 , y0 ) and Q (x1 , y1 ) is: m= y1 − y0 , x1 − x0 provided x1 = x0 . A couple of notes about Equation 2.1 are in order. First, don’t ask why we use the letter ‘m’ to represent slope. There are many explanations out there, but apparently no one really knows for sure.1 Secondly, the stipulation x1 = x0 ensures that we aren’t trying to divide by zero. The reader is invited to pause to think about what is happening geometrically; the anxious reader can skip along to the next example. Example 2.1.1. Find the slope of the line containing the following pairs of points, if it exists. Plot each pair of points and the line containing them. 1 See www.mathforum.org or www.mathworld.wolfram.com for discussions on this topic. 112 Linear and Quadratic Functions 1. P (0, 0...
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