Here is the precise definition of the slope of a line

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Unformatted text preview: n. To find the x-intercepts for an equation all that we need to do is set y = 0 and solve for x. Likewise to find the y-intercepts for an equation we simply need to set x = 0 and solve for y. Let’s take a quick look at an example. Example 2 Determine the x-intercepts and y-intercepts for each of the following equations. (a) y = x 2 + x - 6 [Solution] (b) y = x 2 + 2 [Solution] (c) y = ( x + 1) 2 [Solution] Solution As verification for each of these we will also sketch the graph of each function. We will leave the details of the sketching to you to verify. Also, these are all parabolas and as mentioned earlier we © 2007 Paul Dawkins 156 http://tutorial.math.lamar.edu/terms.aspx College Algebra will be looking at these in detail in the next chapter. (a) y = x 2 + x - 6 Let’s first find the y-intercept(s). Again, we do this by setting x = 0 and solving for y. This is usually the easier of the two. So, let’s find the y-intercept(s). y = ( 0 ) + 0 - 6 = -6 2 So, there is a single y-intercept : ( 0, -6 ) . The work...
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