WEBVTT
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Okay. This function here actually represents a whole family
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of functions. And let's figure out their common feature
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. So what if I rewrite it in a form
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that's a little bit more familiar to us? I'm
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going to write it in slope intercept form, which
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is y equals MX plus B. So I'm going
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to rename F of X says why? And then
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I'm going to rearrange the terms on the right side
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of the equation. So now that we have it
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in that form, we can see that the slope
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is negative one and the Y intercept is see.
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So that's an indication that we have a variety of
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different Y intercepts, but all the lines will have
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a slope of negative one. So that's what they
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have in common. This slope. Let's sketch several
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lines that have a slow, good negative one,
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so one of them could be y equals negative one
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x plus zero just Weichel is the opposite of X
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. That would look something like this. Why intercepted
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zero slope of negative one another. One could be
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y equals the opposite of X plus one. Why
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intercept of one and a slope of negative one thes
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would be parallel. Another one could be y equals
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the opposite of X minus one, which has a
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Y intercept of negative one. Also a slope of
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negative one. So all three of those are parallel
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.