- For equation ① y = -4: Draw a horizontal line that crosses the y-axis at -4. This line is parallel to the x-axis and passes through all points where the y-coordinate is -4.
- For equation ② y = 2x + 3: Plot the y-intercept (0, 3). Use the slope 2 (rise over run: up 2, right 1) to find another point, such as (1, 5). Draw a line through these points.
- For equation ③ x + y = 6: Rearrange to y = -x + 6. Plot the y-intercept (0, 6). Use the slope -1 (down 1, right 1) to find another point, such as (1, 5). Draw a line through these points.
- For equation ④ y = (1/2)x - 5: Plot the y-intercept (0, -5). Use the slope 1/2 (up 1, right 2) to find another point, such as (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 is parallel to the y-axis and passes through all points where the x-coordinate is 4.
- For equation ⑥ y = (1/4)x + 3y: Rearrange to solve for y. Subtract 3y from both sides: -2y = (1/4)x. Divide by -2: y = -(1/8)x. Plot the y-intercept (0, 0). Use the slope -1/8 (down 1, right 8) to find another point, such as (8, -1). Draw a line through these points.
Parent Tip: Review the logic above to help your child master the concept of graphing linear patterns worksheet.
