- To graph each line given in standard form (Ax + By = C), find the x-intercept and y-intercept.
- The x-intercept is found by setting y = 0 and solving for x.
- The y-intercept is found by setting x = 0 and solving for y.
- Plot these two points on the coordinate plane and draw a straight line through them.
1) For 3x + 5y = 15:
- x-intercept: Set y=0, 3x = 15 → x = 5. Point: (5, 0)
- y-intercept: Set x=0, 5y = 15 → y = 3. Point: (0, 3)
- Plot (5, 0) and (0, 3), draw the line.
2) For -2x + 3y = -6:
- x-intercept: Set y=0, -2x = -6 → x = 3. Point: (3, 0)
- y-intercept: Set x=0, 3y = -6 → y = -2. Point: (0, -2)
- Plot (3, 0) and (0, -2), draw the line.
3) For 2x + y = 4:
- x-intercept: Set y=0, 2x = 4 → x = 2. Point: (2, 0)
- y-intercept: Set x=0, y = 4. Point: (0, 4)
- Plot (2, 0) and (0, 4), draw the line.
4) For x - 4y = 4:
- x-intercept: Set y=0, x = 4. Point: (4, 0)
- y-intercept: Set x=0, -4y = 4 → y = -1. Point: (0, -1)
- Plot (4, 0) and (0, -1), draw the line.
5) For x + 2y = 4:
- x-intercept: Set y=0, x = 4. Point: (4, 0)
- y-intercept: Set x=0, 2y = 4 → y = 2. Point: (0, 2)
- Plot (4, 0) and (0, 2), draw the line.
6) For -2y - 5x = 10 (or -5x - 2y = 10):
- x-intercept: Set y=0, -5x = 10 → x = -2. Point: (-2, 0)
- y-intercept: Set x=0, -2y = 10 → y = -5. Point: (0, -5)
- Plot (-2, 0) and (0, -5), draw the line.
Parent Tip: Review the logic above to help your child master the concept of standard form of a linear equation worksheet.
