Grades 11-12 Video Solutions 2021-video 2021 11-12/10

Video Transcription

Video Summary

The transcript describes solving for the equation of a line that intersects a parabola with the equation \( ax^2 + bx + c \). To find the intersecting line's equation, first examine \( x = 0 \), resulting in the line's constant term matching the parabola's \( c \). This limits possible equations to those ending in \( + c \). Evaluating further at \( y = 0 \) identifies two potential slopes: \( b \) and \( a \). The calculation eliminates \( b \) due to constraints on \( a \) and \( c \), establishing \( y = ax + c \) as the correct equation for the intersecting line.