2-4 Parallel & Perpendicular Lines PDF

Summary

This document explains parallel and perpendicular lines, including how to identify, define and calculate their slopes. It provides examples and problems for practice.

Full Transcript

2-4 Parallel & Perpendicular Lines Objectives: to write equations to represent lines that are parallel or perpendicular to a given line and to graph lines to show an understanding of the relationship between the slopes of parallel and perpendicular lines Using a graphing calculator: Press the...

2-4 Parallel & Perpendicular Lines Objectives: to write equations to represent lines that are parallel or perpendicular to a given line and to graph lines to show an understanding of the relationship between the slopes of parallel and perpendicular lines Using a graphing calculator: Press the "Y=" button y1 = 3x+1 Type the equations to the right in y2 = 3x+2 y1, y2, and y3. The "X,T,θ,n" button y3 = 3x - 4 is your 'x' Press "Graph" Parallel lines are lines on the same plane that never intersect. Nonvertical lines that are parallel have the same slope but different y-intercepts. All vertical lines are parallel. (undefined slope) All horizontal lines are parallel. (zero slope) What is the equation of a line in slope-intercept form that passes through the point (8, 9) and is parallel to the line y = 3 x - 2? 4 Write the equation of the line that passes through the point (-3, 5) and is parallel to the line y = 2 x 3 Perpendicular lines meet at a 90 degree angle. Red Slope:___ Blue Slope:___ Red Slope:___ Blue Slope:___ Lines that are perpendicular have slopes that are negative (opposite) reciprocals. The y-intercepts do NOT matter. Write an equation of a line that passes through the point (1, 7) and is perpendicular to the line y =- 1 x + 11 4 Classify the lines as parallel, perpendicular, or neither. 4x + 3y = 6 & 3 y=- x-5 4 Classify the lines as parallel, perpendicular, or neither. y = -5x & 25x + 5y = 1 IXL L.18, L.19

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