The line kx + 3y = 29 passes through the point (2, 5). What is the value of k?

If the line passes through $(2, 5)$, then those coordinates satisfy $kx + 3y = 29$. Substitute $x = 2$ and $y = 5$: $2k + 3(5) = 29$, so $2k + 15 = 29$, then $2k = 14$ and $k = 7$. Check: $7(2) + 3(5) = 14 + 15 = 29$. A common wrong answer is 14, which is the value of $2k$, one step short. Another is 3.5, from using $x = 5$ and $y = 2$ by swapping the coordinates: $5k + 6 = 29$ gives $k = 4.6$. A third is 29, the right-hand side. Substitute carefully and finish isolating $k$.