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In this problem, we're being asked to graph several functions in slope intercept form.
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Remember that we're looking at y equals mx plus b.
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M is going to be the rise over the run, which is going to be the change in y over the change in x.
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And b is going to be the y intercept.
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So it's going to be on the y axis.
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So let's take a look at number one.
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We're going to do it in red.
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We have a slope of 1, so we're going to go up 1 and write 1, 1 change in y for 1 change in x, and we're going to start at 5.
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So 1, 2, 3, 4, 5, right here.
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We're going to go up 1, right 1 couple times, and then we can just connect that using a straight edge, and that is r5.
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Right there.
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I'm going to label that.
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We can call this y1.
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And then let's move on to the next one.
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Here, our slope is negative 5 over 10.
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So i'm going to go down five for every right two, starting at nine.
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So five, six, seven, eight, nine is right here.
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So let's go down five, one, two, three, four, five, and right two.
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I like to do one, two, three, four, five, and right two one more time.
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It gives me a better result.
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Let's stretch our line out through there.
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Put an arrow at both ends.
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Let's call this one y2.
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Looking at the next one, we have a slope of two thirds, meaning that i should go up two for every right three that i go starting at negative six.
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So negative six is here.
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I'm going to go up two and write three.
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I'll do it again so that i have three points to connect here.
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Stretch that out through there.
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I'd like to extend it through here if i've got room.
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And there we have y3.
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And now finally, our last one, we're going to do that in yellow.
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So we have a negative one here.
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So that means our slope is negative 1 over 1.
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We're going to go down 1 for every right 1, starting at negative 2.
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So starting at negative 2, let's go down 1 for every right 1.
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Repeat that pattern over and over again, and we can see that we get this slope right here.
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All right, so i'm going to extend that out right here.
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I'll put some arrows on the end because that's important, and call it y4.
02:25
All right.
02:27
The second part of this question gives us a graph.
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So let me draw that out real quick.
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Let's see.
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It starts here and it has a 1, 2, 3, 4, 5, 6.
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It's 1, 2, 3, 4, 5, 6 at this point over here...