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Plot the graphs

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4 steps

let's plot those graphs for 3.1.2, thanyani.

  1. Identify key features for y=2x−2y = 2x - 2

    The equation is in the form y=mx+cy = mx + c.

    • The y-intercept (cc) is −2-2. This means the line crosses the y-axis at the point (0,−2)(0, -2).
    • The gradient (mm) is 2. This means for every 1 unit increase in xx, the yy value increases by 2 units.
  2. Plot the graph for y=2x−2y = 2x - 2

    • Start by plotting the y-intercept: (0,−2)(0, -2).
    • From this point, use the gradient: move 1 unit to the right (positive x-direction) and 2 units up (positive y-direction). This brings you to the point (0+1,−2+2)=(1,0)(0+1, -2+2) = (1, 0).
    • Draw a straight line connecting the points (0,−2)(0, -2) and (1,0)(1, 0). You can extend this line in both directions.
  3. Identify key features for y=−2x+1y = -2x + 1

    The equation is in the form y=mx+cy = mx + c.

    • The y-intercept (cc) is 1. This means the line crosses the y-axis at the point (0,1)(0, 1).
    • The gradient (mm) is −2-2. This means for every 1 unit increase in xx, the yy value decreases by 2 units.
  4. Plot the graph for y=−2x+1y = -2x + 1

    • Start by plotting the y-intercept: (0,1)(0, 1).
    • From this point, use the gradient: move 1 unit to the right (positive x-direction) and 2 units down (negative y-direction). This brings you to the point (0+1,1−2)=(1,−1)(0+1, 1-2) = (1, -1).
    • Draw a straight line connecting the points (0,1)(0, 1) and (1,−1)(1, -1). You can extend this line in both directions.
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