Write a mathematical equation that fits each word problem
2 answers:
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Step 1
<u>Find the slope of the given line</u>
we have
Isolate the variable y
Subtract both sides
Divide by both sides
the slope of the given line is
Step 2
Find the equation of the line that passes through the point and is parallel to the given line
we know that
if two lines are parallel, then their slopes are equal
The equation of the line into point-slope form is equal to
we have
substitute in the equation
or
therefore
<u>the answer is</u>
or
Answer:
No, it isn't.
Step-by-step explanation:
We have and let
be the subset of
of all points on the line
We need to find if is a subspace of the vector space
.
In all the possibilities for own subspace of the vector space
are :
itself.
- The vector
- All lines in
)
We know that is the subset of
of all points on the line
If we look at the equation, the point doesn't verify it because :
Which is an absurd. Therefore, doesn't contain the origin (and
is a line in
). Finally, it can't be a vector space of