1. What are the different forms of linear equations in two variables? Show an example of each form.
2. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)? And how do you interpret the relationship between two variables (independent and dependent) based on the type of the slope?
(1) Linear equations in two variables can be of the following types:
(a) Consistent and Independent system (Has a unique solution)
Example: x + y = 10 and x - y = 8
(b) Consistent and Dependent system (Has infinitely many solutions)
Step-wise explation with examples is provided.