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Mathematics 8 Online
OpenStudy (emmy1):

PLEASE HELPPPPPP (Screen shot in comments)

OpenStudy (emmy1):

This is what I need help with!

OpenStudy (imstuck):

So you have to use the example inequalities and fill in the table?

OpenStudy (emmy1):

yes

OpenStudy (imstuck):

I would love to help you. Just clarify what exactly I have to help you with. If you use the 2 example inequalities, we are good.

OpenStudy (emmy1):

The left example is for the left info, the right is for the right. If you go to my profile and see my two most recent questions, you will see what this is about.

OpenStudy (imstuck):

Ok, wow. This is a lot, but we can get through it. One thing at a time is what I tell my Algebra students. One thing at a time. For the first one, \[y \le-1x+1\]this is in slope-intercept form. do you know what the y-intercept is in this example inequality they gave you?

OpenStudy (emmy1):

No

OpenStudy (imstuck):

Ok, in the form y = mx + b, the "b" is your y intercept and the "m" is your slope, or your rise over run (y term over x term). So in the first inequality, there is a "+1" in the b spot, so your y-intercept is a positive 1 on the y axis.|dw:1401896439908:dw|

OpenStudy (emmy1):

Ok

OpenStudy (imstuck):

The slope is indicated by the number in front of the x. You have a -1 there. That means the slope is negative, it goes "downhill" and is a -1/1. So the "rise" is actually a drop; it goes down not up. Rise is a term that is used to describe the line's vertical behavior. Rise doesn't necessarily mean it goes up as in "rises". Here's what the line look like.|dw:1401896668958:dw|The slope has gone down one unit on the y axis and over 1 unit to the right on the x axis. Since the slope is negative, y is negative, meaning it moves down, and x is positive, meaning it moves to the right, because a negative number over a positive number gives a negative result (same as negative divided by a positive is negative, right?) So for the table on the left side, the y-intercept is 1; the slope is -1; the rise is -1; the run is 1. Because it has a "less than or equal to" sign the line is solid, not dotted. And looking back at our graph of the line I drew, let's fill in the point (0, 0) and see if the inequality it true if x = 0 and y = 0. Is\[0\le-1(0)+1\]Is 0 less than or equal to 1? Yes it is, so the part of the graph that is shaded for that one is the left side of the line which is everything to the left or|dw:1401897015902:dw|Do you get that at all?

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