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Equations of Perpendicular Lines

Directions: Using the integers -9 to 9 (excluding 0) at most one time each, fill in the blanks to create two distinct perpendicular lines.

Hint

Hint

Why might we want to consider the relationship between the coefficients of x and y?

Answer

Answer

There are many solutions but not infinite

1 x + 2 y = 4
-6 x + 3 y = 5

2 x + 3 y = 9
-6 x + 4 y = 8

Any solution where the x and y coefficients swap and one is negative. Students will need to use multiples to avoid repeating values. The constant term can take any remaining value.

Source: Louise Pepper with answers from the students of Kings College Alicante, Spain

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4 comments

  1. Anyone else bored with online school?

  2. Danitza Marenco

    I got 2x+6y=9
    -8+4y=8

  3. 1x +2y =4
    3x+-6=5

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