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f(x) = 3ˣ. Which of the following equations must be true?
TSI Math: Knowing the Orientation of Positive and Negative Slopes on a Graph 8 Views
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Description:
The graph of which of the following equations is a line that has a y-intercept below zero and decreases as you move from left to right?
- TSI Math / Elementary Algebra and Functions
- Test Prep / TSI
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI Mathematics / Elementary Algebra and Functions
- TSI / TSI Math
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:03
All right tessa Mash members Here we go Another question
- 00:06
thrown at your head like a curveball from a baseball
- 00:08
diamond The graph of which the following equations is a
- 00:10
line that has a why intercept below zero and decreases
- 00:15
as you move from left to right So why intercept
Full Transcript
- 00:22
below zero What does that mean It's going to intersect
- 00:25
or intercept the y axis This vertical thing below zero
- 00:29
so somewhere down here and it's going to decrease from
- 00:32
left to right i mean it's a negative slope so
- 00:35
we can already just looking at this get rid of
- 00:37
cnd because those have positive slopes right You got two
- 00:40
thirds that's positive and five x there that's positive So
- 00:43
we've narrowed down our things here real quick We love
- 00:46
slope it's our thing increase decrease Fight fight fight That's
- 00:49
The cheerleaders had shmoop high just outside of dallas and
- 00:52
they're not very inspiring football or basketball games but they're
- 00:55
awesome supporters of the mathletes in the math club welcome
- 00:58
to shmoop if a graph decreases as we move left
- 01:01
to right across the coordinate play me why values become
- 01:04
smaller is the x values become larger that's the definition
- 01:07
of a negative slope we say slope you say intercepts
- 01:11
low intercept slope intercept the cheerleaders sure know their playbook
- 01:15
in the general slope intercept form y equals mx plus
- 01:18
b m represents thus slow conveniently all the answer choices
- 01:21
Aeryn this form so we can see that on ly
- 01:23
the equations why equals negative two x minus a a
- 01:26
and y equals negative three force acts be both have
- 01:29
negative slopes right So the correct line should have a
- 01:32
why intercept below zero That doesn't mean it's freezing It
- 01:35
means the line crosses the y axis at a negative
- 01:38
value somewhere down here on this little pretty graph in
- 01:41
the slope intercept equation y equals mx plus b the
- 01:44
b is the y intercept for the line to intercept
- 01:47
the access below Zero b must be negative right So
- 01:50
so you got the negative eight there in that matches 00:01:53.419 --> [endTime] so that's it that's the answer It's a
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