To graph each line given in standard form (Ax + By = C), find the x-intercept and y-intercept, then draw a line through them.
1) 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) -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) 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) 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) 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) -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 linear equations standard form worksheet.
