Based on my analysis of the worksheet titled "FINDING X- AND Y-INTERCEPTS (Day 1)", I have solved all the problems presented. The task requires finding the x-intercept (where y = 0) and the y-intercept (where x = 0) for each given linear equation.
Here are the solutions for each problem:
Problem 1: $2x + 3y = 6$
- x-intercept: (3, 0)
- y-intercept: (0, 2)
Problem 2: $x - y = 4$
- x-intercept: (4, 0)
- y-intercept: (0, -4)
Problem 3: $3x + 2y = 12$
- x-intercept: (4, 0)
- y-intercept: (0, 6)
Problem 4: $4x - y = 8$
- x-intercept: (2, 0)
- y-intercept: (0, -8)
Problem 5: $x + 2y = 6$
- x-intercept: (6, 0)
- y-intercept: (0, 3)
Problem 6: $2x - 3y = 6$
- x-intercept: (3, 0)
- y-intercept: (0, -2)
Problem 7: $5x + y = 10$
- x-intercept: (2, 0)
- y-intercept: (0, 10)
Problem 8: $3x - y = 9$
- x-intercept: (3, 0)
- y-intercept: (0, -9)
Problem 9: $x + 4y = 8$
- x-intercept: (8, 0)
- y-intercept: (0, 2)
The solution process for each problem involves substituting 0 for one variable to solve for the other. For the x-intercept, we set y = 0 and solve for x. For the y-intercept, we set x = 0 and solve for y. This gives us the points where the line crosses the respective axes.
Parent Tip: Review the logic above to help your child master the concept of solving for x and y intercepts worksheet.