<|system|>
Line $m$ has the equation $y = 3x + 5$.  Line $n$ has the equation  $y = kx - 7$.  Lines $m$ and $n$ intersect at the point $(-4, -7)$.  What is the value of $k$?</s>.
<|user|>
Can you answer based on context?
<|assistant|>
I want to find the value of $k$ that makes the two lines intersect at the given point. That means I need to plug in the coordinates of the point $(-4, -7)$ into both equations and see what value of $k$ makes them both true. So let me start with the first equation, $y = 3x + 5$.  If I plug in $x = -4$ and $y = -7$, I get $-7 = 3(-4) + 5$, which simplifies to $-7 = -7$, which is true. So the point $(-4, -7)$ does lie on line $m$. Now let me try the second equation, $y = kx - 7$.  If I plug in $x = -4$ and $y = -7$, I get $-7 = k(-4) - 7$, which simplifies to $0 = -4k$, which means $k = 0$. So the value of $k$ that makes the point $(-4, -7)$ lie on line $n$ as well is $k = 0$.

