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Mastering Slope: Understanding Line Equations & Graphing

Learn how to put equations in standard form, find intercepts, calculate slope, and graph lines with positive, negative, zero, and undefined slopes. Get ready for the quiz by practicing on page 72/73.

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Mastering Slope: Understanding Line Equations & Graphing

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  1. Chapter 2.3 Slope

  2. Warm – Up! • Put the following equation in standard form. ½ x = 3y - 8 • Find the X and Y intercepts and graph. 4Y- 2y = 6

  3. Use slope to graph a line: • Find the slope of the line that passes through (0, 0) and (–5, 6). Then graph the line.

  4. Positive Slope: When the slope shows as 3/1 then the rise is positive or up and the run is to the right. Therefore the slope goes upward from left to right.

  5. Negative Slope: When the slope is -4/1 then the rise is negative and going down and the run is to the right. Therefore the line goes downward from left to right.

  6. Zero Slope: When there is no x value in the equation, then there is no slope. Notice that there is no rise, but there is run. Therefore, there is a zero divided by a number. M = 0/#

  7. Undefined Slope: In this case there is rise, but no run, therefore the number is divided by zero and cannot be done, so it is undefinable. #/0 = m

  8. Parallel and Perpendicular Lines: Parallel Lines have the same slope Perpendicular Lines have opposite reciprocal slopes

  9. Tonight’s Homework: Page 72/73 (15-21 odd) (31-35 odd) (43-47 odd) Quiz Next Class (2.1 – 2.3)

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