Final Answer:
The graphs should be drawn as straight lines on the coordinate grids, each passing through two correctly calculated points for the given equations. For example:
1. $x + y = 4$ → points (0, 4) and (4, 0)
2. $2x + 4y = 8$ → simplify to $x + 2y = 4$, points (0, 2) and (4, 0)
3. $3x - \frac{1}{2}y = 2$ → rewrite as $y = 6x - 4$, points (0, −4) and (1, 2)
4. $y = 3x + 2$ → points (0, 2) and (1, 5)
5. $x - y = 5$ → rewrite as $y = x - 5$, points (0, −5) and (5, 0)
6. $y = -\frac{2}{3}x + 4$ → points (0, 4) and (3, 2)
Each line must be drawn through its two points and labeled with its equation number (①–⑥).
Parent Tip: Review the logic above to help your child master the concept of linear equations in two variables worksheet.
