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Graphing Linear Equations and Inequalities

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  • Is the shading above or below?
    Above
  • Graph the line: y=2/3 x + 1
    positive slope of 2/3 crossing at y=1
  • Graph the line: x = 5
    Vertical line when x = 5.
  • Graph the line: y = 1/5 x - 3
    Small positive slope, crosses at -3
  • Solve this for y: 4x - 3y ≥ 24
    Manually Check
  • Graph the inequality: y > -1/2 x + 4
    shaded above, dashed line, negative slope, crosses at 4
  • Solve this for y: 2x - 3y ≥ 12
    Manually check
  • When graphing y > 3x+2, you will shade above or below the line?
    Above
  • Solve this for y: 2x + 3y ≥ 12
    Manually check
  • Is the ordered pair (1,1) a solution for this graph?
    Yes
  • Graph the inequality: y < -2x + 5
    Shaded below, dashed line, negative slope, crosses at y = 5.
  • Which Inequality sign would this be a graph of?
    Less than or equal to
  • Graph the line x + y = 2
    Negative slope, intercepts are 2 and 2.
  • Graph the line: -2 = y
    A horizontal line at y = -2
  • Graph the line: y = 7 - (5/2)x
    negative slope, crosses when y = 7.
  • Graph the line: y = - 4
    Horizontal line at y = - 4
  • Which Inequality signs require dashed lines?
    greater than or equal to and less than or equal to (≥ & ≤)
  • Why is (3,1) not a solution to this inequality?
    Because the line is dashed
  • If a line is < or equal to ... it is ___________________
    solid
  • Graph the line: 6 = x
    A vertical line at x = 6.
  • Do I need to flip my sign when solving? 2x - 3y ≥ 12
    Yes
  • Is the point (0,0) a solution to this inequality?
    yes
  • Dashed lines have these symbols in the inequality
    < and >
  • Is the ordered pair (-3,1) a solution to this inequality?
    No
  • When graphing y > 3x+2 , you will draw a dashed or solid line?
    Dashed