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Aim: How do we graph equations of the form y = c and x = c

Aim: How do we graph equations of the form y = c and x = c. Do Now: SAT Question How much is twice a number increased by 5, if half of the same number decreased by 5 is one?. x = number. y. 9. 8. 7. 6. x = -2. 5.

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Aim: How do we graph equations of the form y = c and x = c

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  1. Aim: How do we graph equations of the form y = c and x = c Do Now: SAT Question How much is twice a number increased by 5, if half of the same number decreased by 5 is one? x = number

  2. y 9 8 7 6 x = -2 5 All x values are -2, and the line formed is parallel to the y axis 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 x -1 x = -2 -2 -3 -4 -5 -6 -7 -8 -9 The x-coordinate is the same Graph each of the following set of points: (-2,7), (-2, 5), (-2, 0), (-2, -3), (-2, -6) Name 3 other points that could be in this set. (-2, 4), (-2, 1), (-2, -1) Describe the relationship Write a rule. Identify the line as horizontal or vertical. vertical

  3. (-6, -4), (4, -4), (9, -4) y 9 8 7 All y values are -4, and the line formed is parallel to the x axis 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 x -1 -2 -3 -4 -5 -6 -7 -8 -9 The y-coordinate is the same Graph each of the following set of points: (-4, -4), (-2, -4), (0, -4), (2, -4), (7, -4) Name 3 other points that could be in this set. Describe the relationship Write a rule. y = -4 y = -4 Identify the line as horizontal or vertical. horizontal

  4. 0, 4 3, 0 Graphs/Equations of Horizontal & Vertical Lines Graphing a line parallel to an axis. x = c& y = c x = c y = c y = 4 x = 3 An equation of a line parallel to the y-axis with x-interceptc is x = c An equation of a line parallel to the x-axis with y-interceptc is y = c Intercept - the point where a line crosses an axis

  5. y = 3 x = 2 y =-5 Model Problem Draw the graph of 1. y = -5 2. x = 2 3. y = 3 Write an equation for the line that is parallel to the x-axis and whose y-intercept is -3 y = -3 Write an equation for the line that is parallel to the y-axis and whose x-intercept is 2½ x = 2½

  6. Model Problems Write the algebraic expression for each line.

  7. (6, 4) (4, 2) (6, 2) Model Problem What is the equation for a line passing through (6, 4) and parallel to the line passing through (4, 2) and (6, 2)? y = 4 y = 2 What is the equation for the x-axis? y = 0 What is the equation for the y-axis? x = 0

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