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Slopes and Intercepts Lesson 1.2

Slopes and Intercepts Lesson 1.2. y = mx + b ax + by = c. Objectives. Glossary Terms. Graph a linear equation. Write a linear equation for a given line in the coordinate plane. slope of a line slope-intercept form standard form horizontal line vertical line x -intercept y -intercept.

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Slopes and Intercepts Lesson 1.2

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  1. Slopes and Intercepts Lesson 1.2 y = mx + b ax + by = c

  2. Objectives Glossary Terms • Graph a linear equation. • Write a linear equation for a given line in the coordinate plane. slope of a line slope-intercept form standard form horizontal line vertical line x-intercept y-intercept

  3. Slopes of lines

  4. SLOPE OF A LINE The slope, or steepness of a line, is the ratio of the change in y to the change in x or: It is often called the rise over the run. yx

  5. (y2 – y1) (x2 – x1) m = Rules and Properties Slope of a line Point 1: (x1, y1) Point 2: (x2, y2) slope : m

  6. FIND THE SLOPE … of the line through points (7,2) and (1,1) 1/6 … of the line containing the points (3, 5) and (-2, -6) 11/5 …of the line containing the points (-5, 3) and (3, -4) -7/8

  7. Exploring Slopes Graph each pair of equations. Describe how the slopes are alike and how they are different. Y = x and y = x Y = x and y = x

  8. y = x and y = -x y = x and y = x Make a conjecture about the slopes of y = mx when m < 0 and when m > 0.

  9. Puff! Puff! Positive Slope

  10. Wheee! Negative Slope

  11. Exploring Slopes Find the slope of the line containing the points (-3, 3) and (2, 3). The slope is 0 The graph of a line with zero slope is a horizontal line. (2, 3) (-3, 3)

  12. Find the slope of the line containing the points (-2, 1) and (-2, 3) The slope is 2/0 (undefined) The graph of the line with undefined slope is a vertical line (-2, 3) (-2, 1)

  13. Yawn…Zzzzzzz Zero Slope

  14. Yikes! No Slope!

  15. MATCH THE SLOPE a 1. Positive 2. negative 3. 0 slope 4. no slope (or undefined slope) c b d

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