| { | |
| "problem": "At what point does the line containing the points $(1, 7)$ and $(3, 11)$ intersect the $y$-axis? Express your answer as an ordered pair.", | |
| "level": "Level 3", | |
| "type": "Algebra", | |
| "solution": "The $y$-axis is where the $x$-coordinate is $0$. Using the given points, as the $x$-coordinate decreases by $2$, the $y$-coordinate decreases by $4$. So as the $x$-coordinate decreases by $1$ from $1$ to $0$, the $y$-coordinate will decrease by $2$ from $7$ to $5$. The point is $\\boxed{(0,5)}$." | |
| } |