Question

Now consider the family of lines ax + by = c such that a, b and c are consecutive multiples of each other. what would that mean? give some examples of such lines in this family (coordinates.) what do you notice or wonder?

Answer 1

The answer is (-1,2).

Explanation:

Answer 2

The answer is (-1,2).

Explanation:

Try determining it by making up specific examples.

You might try x+2y = 3 (1,2,3 is an arithmetic progression with a

difference of 1).

The 2nd equation might be 5x+7y = 9. Now solve this system of equations using elimination or substitution method. Try this with a few different specific examples, just to convince yourself.