Plot the ordered pairs (x, y) for all three equations. Use a ruler to draw a solid line through the points for each equation. Use a different colour or line style (e.g. solid, dashed, dotted) for each line. Label the lines: Equation 1, Equation 2, and Equation 3.

• For $x = -2$: $y = -2(-2) + 2 = 4 + 2 = 6$
• For $x = -1$: $y = -2(-1) + 2 = 2 + 2 = 4$
• For $x = 0$: $y = -2(0) + 2 = 0 + 2 = 2$
• For $x = 0.5$: $y = -2(0.5) + 2 = -1 + 2 = 1$
• For $x = 2$: $y = -2(2) + 2 = -4 + 2 = -2$

Task 2.1: Graph Construction

• On your graph paper, draw a horizontal x-axis and a vertical y-axis that intersect at the origin (0,0).
• Label the x-axis from -5 to 5 and the y-axis from -5 to 5, marking integer values clearly.

• For Equation 1 ($y = \frac{1}{2}x + 2$): Plot $(-2; 1)$, $(-1; 1.5)$, $(0; 2)$, $(0.5; 2.25)$, $(2; 3)$. All these points are within the specified range.
• For Equation 2 ($y = 2x - 4$): Plot $(0; -4)$, $(0.5; -3)$, $(2; 0)$. Note that $(-2; -8)$ and $(-1; -6)$ fall outside the y-axis range of -5 to 5, so they cannot be plotted on this specific graph.
• For Equation 3 ($y = -2x + 2$): Plot $(-1; 4)$, $(0; 2)$, $(0.5; 1)$, $(2; -2)$. Note that $(-2; 6)$ falls outside the y-axis range of -5 to 5, so it cannot be plotted on this specific graph.

• Using a ruler, draw a solid line through the plotted points for Equation 1. Label this line "Equation 1".
• Using a ruler, draw a solid line through the plotted points for Equation 2. Use a different color or line style (e.g., dashed) for this line. Label it "Equation 2".
• Using a ruler, draw a solid line through the plotted points for Equation 3. Use a third different color or line style (e.g., dotted) for this line. Label it "Equation 3".