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Linear Algebra

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Moderate

Find the Slope

LINALG-SD97EG

Suppose that the line $l$ with equation $y=mx-2$ intersects the line $2x+3y=6$ when $x=-2$. This is the only place the two lines intersect. Find the slope of the line $l$.

A

$l$ has slope ${{8}\over 3}$.

B

$l$ has slope ${{16}\over 3}$.

C

$l$ has slope ${ {-8}\over 3}$.

D

$l$ has slope ${4\over 3}$.

E

$l$ has slope ${{-2}\over 3}$.

F

$l$ has slope $-2$.

G

$l$ has slope ${1\over 3}$.

H

None of the above.