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CCSS.Math:

Graph a line that
has a slope that is negative and greater than
the slope of the blue line. So let's think for a second
about what slope means. So if you use the word
slope in your everyday life, you're really talking about
how inclined something is, like a ski slope. So for example, this orange
line isn't inclined at all. It's flat, so this one
actually has a slope of 0. Another way of thinking
about it is as x increases, what is happening to y? And you see here that y
isn't changing at all, so this orange line right
now has a slope of 0. If the orange line
looked like this, it now has a positive slope. Notice, when x is
negative, your y value-- or say when
x is negative 5, your y value is here, and
then when x is positive 5, your y value has increased. As x increases, y is increasing,
so this has a positive slope. This has an even more positive
slope, an even more positive slope. This has an even
more positive slope. As x is increasing, the y value
is increasing really fast. This line is going
up really fast as we move towards the right,
so it's a very positive slope. This is less positive,
less positive. This is a 0 slope, and then
this is a negative slope. Notice, as x is increasing,
the line is going down. Your y value is decreasing. When x is negative
5, your y is 7. Well, when x is 5, your y is 5. So x is increased,
but y has gone down, so this is a negative slope. So they say graph a line
that has a slope that is negative and greater than
the slope of the blue line. So the blue line also
has a negative slope. As x is increasing, your
blue line is going down. Over here, when x
has negative values, your y value is quite high. And here, when x
has positive values, your y value has gone
all the way down. So this has a
negative slope, but we want to have a slope
greater than this one. So we still want
to have a-- they say graph a line that has
a slope that is negative-- so my orange line currently
has a negative slope-- and greater than the
slope of the blue line. So it has a negative
slope, but it is less negative than this
blue line right over here. If I wanted to be more
negative than the blue line, I'd have to do
something like that. But I want to be negative
but less negative than the blue line, so
that would be like that. If we wanted a 0 slope, once
again, something like this. If we wanted a positive
slope, something like this. So once again, negative
slope, less negative than the blue line. Check our answer.