- For equation 1, y = -4: Draw a horizontal line that crosses the y-axis at -4. This line will be parallel to the x-axis and pass through all points where the y-coordinate is -4.
- For equation 2, y = 2x + 3: Start at the y-intercept (0, 3). Use the slope of 2 (rise over run = 2/1) to find another point by moving up 2 units and right 1 unit to (1, 5). Draw a line through these points.
- For equation 3, x + y = 6: Rewrite as y = -x + 6. Start at the y-intercept (0, 6). Use the slope of -1 (rise over run = -1/1) to find another point by moving down 1 unit and right 1 unit to (1, 5). Draw a line through these points.
- For equation 4, y = (1/2)x - 5: Start at the y-intercept (0, -5). Use the slope of 1/2 (rise over run = 1/2) to find another point by moving up 1 unit and right 2 units to (2, -4). Draw a line through these points.
- For equation 5, x = 4: Draw a vertical line that crosses the x-axis at 4. This line will be parallel to the y-axis and pass through all points where the x-coordinate is 4.
- For equation 6, y = (1/4)x + 3y: Simplify the equation to -2y = (1/4)x, then y = -(1/8)x. Start at the origin (0, 0). Use the slope of -1/8 (rise over run = -1/8) to find another point by moving down 1 unit and right 8 units to (8, -1). Draw a line through these points.
Parent Tip: Review the logic above to help your child master the concept of writing linear equations from graphs worksheet.