SUMMARY
The equation of a line parallel to 3y + 4x = 6 can be derived using the slope-intercept form. The original line simplifies to y = -4/3x + 2, indicating a slope of -4/3. A parallel line will share this slope and must pass through the point F (1, 7). Therefore, the equation of the parallel line can be expressed as y - 7 = -4/3(x - 1).
PREREQUISITES
- Understanding of slope-intercept form of a linear equation
- Basic algebraic manipulation skills
- Knowledge of parallel line properties
- Ability to substitute coordinates into equations
NEXT STEPS
- Practice deriving equations of lines from given points and slopes
- Explore the concept of perpendicular lines and their equations
- Learn about graphing linear equations using slope-intercept form
- Study systems of equations involving parallel and intersecting lines
USEFUL FOR
Students studying algebra, mathematics educators, and anyone needing to understand linear equations and their properties.