Grades 11-12 Video Solutions 2025-2025_11-12

Video Transcription

Video Summary

The problem involves evaluating the expression \( AB + CD - (AC + BD) \) based on the slopes and y-intercepts of two linear functions. By analyzing the two lines, the student determines that line 1 has a positive slope and a positive y-intercept, so both A and B are positive. Line 2 has a negative slope and a negative y-intercept, making C and D negative. Calculating the given expression, we find that all terms resolve to positives, leading to the conclusion that the expression is always positive. Thus, the answer is C: positive.

Keywords

linear functions

expression evaluation

positive slope

negative slope

y-intercept