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Lesson 3.4

Lesson 3.4. Find and Use Slopes of Lines. Key Concept. y 2 – y 1 x 2 – x 1 Steepness of a line is determine by the absolute value of the slopes. Therefore +/- slopes don’t factor into the steepness of a line!!!! Bigger the absolute value the steeper the line

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Lesson 3.4

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  1. Lesson 3.4 Find and Use Slopes of Lines

  2. Key Concept • y2 – y1 x2 – x1 • Steepness of a line is determine by the absolute value of the slopes. Therefore +/- slopes don’t factor into the steepness of a line!!!! • Bigger the absolute value the steeper the line • y = -4x + 2 is steeper than y = 3x - 3 • Negative Slope- “downhill” Left to Right • Positive Slope- “Uphill” Left to Right • Horizontal Slope- Slope is zero: 0/# • Vertical Slope- Slope is Undefined: #/0 m =

  3. Postulate 17 • Slopes are the same with parallel lines because they never intersect

  4. Postulate 18 • All perpendicular lines have negative(opposite) reciprocal (flip) slopes; such that the product of their slopes equal -1. • Ex: y = 2x + 3 & y= -1/2x – 2 m=2 m= -1/2 m=2/1 m = ½ -1/2 • 2(-1/2)= -1 ; Therefore the product of the slopes is -1 “Flip” “Opposite”

  5. Guided Practice • Pg. 171-173; #’s 1-7all

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