- Steps:
1. Determine the slope of the parallel or perpendicular line
2. Identify your x and y value in the given ordered pair
3. Substitute the x and y into the slope-intercept form equation
4. Solve for b
5. Substitute the slope, m, and y-int, b, into the slope-intercept form equation
- Example 1 (Parallel to y = 4x + 9 through (0,2)):
- x = 0, y = 2, m = 4
- y = mx + b
- 2 = 4(0) + b
- 2 = 0 + b
- 2 = b
- m = 4, b = 2
- y = mx + b
- y = 4x + 2
- Example 2 (Perpendicular to y = -6x + 12 through (12,-5)):
- x = 12, y = -5, m = 1/6
- y = mx + b
- -5 = (1/6)(12) + b
- -5 = 2 + b
- -7 = b
- m = 1/6, b = -7
- y = mx + b
- y = (1/6)x - 7
Parent Tip: Review the logic above to help your child master the concept of parallel and perpendicular slopes worksheet.
