Math Problem Statement
The problem asks to find the slopes of two lines from a graph and determine if they are perpendicular.
Solution
The image shows a problem involving two lines, labeled "Line 1" and "Line 2," on a coordinate plane. The goal is to determine whether the lines are perpendicular. The question asks for the slopes of each line and then for an explanation on whether or not they are perpendicular.
Steps to Solve:
- Find the slope of Line 1: The slope is the ratio of the change in to the change in (rise over run).
- Find the slope of Line 2: Similarly, calculate the slope of the second line.
- Check for perpendicularity: Two lines are perpendicular if the product of their slopes is .
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Math Problem Analysis
Mathematical Concepts
Algebra
Coordinate Geometry
Slopes of Lines
Perpendicular Lines
Formulas
Slope formula: (y2 - y1) / (x2 - x1)
Perpendicularity condition: Product of slopes = -1
Theorems
Slopes of Perpendicular Lines
Suitable Grade Level
Grades 8-10