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Mastering Intercepts and Slopes: Graph Theory Fundamentals

Learn how to find intercepts and slopes on a graph, identify positive, negative, zero, or undefined slopes, and use slope-intercept form equations effectively. Practice parallel and perpendicular lines with examples and exercises.

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Mastering Intercepts and Slopes: Graph Theory Fundamentals

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  1. 3.3 Intercepts Ex. Graph 2x + y = 3 by applying the x and y-intercept

  2. 3.4 Slope (Rate of Change) Positive: Negative Zero Undefined Rise Fall Horizontal Vertical y = a number x = a number

  3. Slope Definition Formula

  4. Ex. Find the slope if (0, 3) and (4, 8) (x1, y1) (x2, y2)

  5. Slope of Parallel and Perpendicular Parallel Perpendicular m1 = m2 m1 ● m2 = – 1 same negative reciprocal

  6. Slope Intercept Form: y = mx + b, m = slope and b = y-intercept Ex. Identify the slope and y-intercept • y = 3x – 5 • 3x – 4y = 12 • – y = x – 1

  7. Ex. Determine whether the pair of lines is parallel, perpendicular, or neither. 3x + y = 5 2x + 3y = 6

  8. HW 3.3 pg. 205 # 33 – 47 odd HW 3.4 pg. 218 #41 – 69 odd

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