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TSI Math: Plugging in Slope and Point to Find the Equation of a Line 12 Views
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Description:
A line passes through the point (-4, -4) and has a slope of
. What is its equation?
- 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
- 00:02
All right sy shmoop ing math people Here we go
- 00:04
Next question Ah line passes through the point negative for
- 00:07
negative for and has a slope of negative three Force
- 00:10
What is its equation Okay well let's look at this
- 00:19
We're thinking about that Why equals mx plus b thing
Full Transcript
- 00:22
we tattooed on our arm but y equals mx plus
- 00:25
b is you know kind of primary formula for the
- 00:28
slope of a line We got a few other issues
- 00:31
We have to figure out here So let's think through
- 00:33
this here So we have everything we need though a
- 00:35
point and a slope So we know we can calculate
- 00:38
the line All right Well the equation of a line
- 00:40
is determined using a point on the line Let's call
- 00:43
that x one y one and its slope by using
- 00:46
the point slope equation Why minus y one equals the
- 00:49
slope Tens quantity x minus x one Well for this
- 00:52
problem we've got m equals negative three force and think
- 00:55
about that means it's going to be a line sloping
- 00:57
downward look kind of like that And it's uh three
- 01:00
force not a very big slope So it's not super
- 01:03
steve but it's kind of okay And then we got
- 01:06
the point here X one Why One is negative for
- 01:08
negative For they gave that to us So now we
- 01:10
could just kind of plug in chug let's put in
- 01:11
all the numbers we got Why minus why once we
- 01:14
get why minus that negative for there and that equals
- 01:17
will the slow that negative three fourth times the quantity
- 01:20
x minus x one and x one is that negative
- 01:23
forthe right simplify things without y plus four equals negative
- 01:27
three four times quantity expose for and if we seem
- 01:30
fight again that's negative three Acts over 4 minus 3
- 01:34
only subtract four from both sides to find an equation
- 01:37
in the you know normal slope intercept form there that
- 01:40
gets us Why equals negative three force x minus seven
- 01:45
and that's it The equation of line is why equals
- 01:48
negative three four sacks minus seven Answer B b bye
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