Upgrade subject to access all content

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 $l$.

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

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

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

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

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

$l$ has slope $-2$.

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

None of the above.