READ_ONLY_ACCESS
[
  {
    "id": "maths1-w02-000",
    "front": "Distance between $(x_1, y_1)$ and $(x_2, y_2)$",
    "back": "$\\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$"
  },
  {
    "id": "maths1-w02-001",
    "front": "Slope of line through $(x_1, y_1)$ and $(x_2, y_2)$",
    "back": "$m = \\frac{y_2 - y_1}{x_2 - x_1}$"
  },
  {
    "id": "maths1-w02-002",
    "front": "Condition for parallel lines with slopes $m_1, m_2$",
    "back": "$m_1 = m_2$"
  },
  {
    "id": "maths1-w02-003",
    "front": "Condition for perpendicular lines with slopes $m_1, m_2$",
    "back": "$m_1 m_2 = -1 \\implies m_2 = -\\frac{1}{m_1}$"
  },
  {
    "id": "maths1-w02-004",
    "front": "Slope of general line $ax + by + c = 0$",
    "back": "$m = -\\frac{a}{b}$"
  },
  {
    "id": "maths1-w02-005",
    "front": "Perpendicular distance from $(x_0, y_0)$ to $ax + by + c = 0$",
    "back": "$\\frac{|ax_0 + by_0 + c|}{\\sqrt{a^2 + b^2}}$"
  },
  {
    "id": "maths1-w02-006",
    "front": "Midpoint of segment between $(x_1, y_1)$ and $(x_2, y_2)$",
    "back": "$(\\frac{x_1 + x_2}{2}, \\frac{y_1 + y_2}{2})$"
  }
]