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Lines

Lines. Slope. Measure of units the line rises for each unit of horizontal change - symbol (m) m = Δ y = y 2 – y 1 Δ x x 2 – x 1 if x 2 = x 1 then m is undefined (vertical line). Equation of Line. Point-slope form y – y 1 = m (x – x 1 )

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Lines

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  1. Lines

  2. Slope Measure of units the line rises for each unit of horizontal change - symbol (m) m = Δy = y2 – y1 Δx x2 –x1 if x 2 = x1 then m is undefined (vertical line)

  3. Equation of Line Point-slope form y – y1 = m (x – x1) Example: Find the equation of a line that has a slope of 3 and passes through the point (1, -2)

  4. Find the equation of the line that passes through the points (-3, 6) and (1, 2)

  5. Slope-Intercept Form y = mx + b (0, b) is the y-intercept Sketch the following: a) y = 2x + 1 b) y = 2 c) 3y + x – 6 = 0

  6. General Form Ax + By + C = 0

  7. Rate of Change Slope can be considered a ratio or rate of change (average rate of change) Example: The population in a city was 3,687,000 in 1990 and 4,042,000 in 2000. What is the average rate of change over this time period? What does it tell you?

  8. Two lines are parallel if m1 = m2 Find the equation for a line that passes through the point (2, -1) and is parallel to the line 2x – 3y = 5.

  9. Two lines are perpendicular if m1 = -1/m2 Find the equation of a line that passes through the point (2, -1) and is perpendicular to the line 2x – 3y = 5

  10. Homework Pg. 16 # 1, 3, 5, 9, 11, 13, 19, 22, 23-27, 31, 33, 36, 39, 45, 47, 59, 62

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