Final answer:
To form a square using linear equations, we can write equations for two opposite sides of the square. The equations can be y = 0, y = 1, x = 0, and x = 1.
Step-by-step explanation:
To write a set of linear equations that intersect to form a square, we can use the equation of a line, y = mx + b, where m is the slope and b is the y-intercept. Since a square has four equal sides, we can choose any two opposite sides and write their corresponding linear equations. For example, let's choose the sides with vertices (0,0), (0,1), (1,1), and (1,0). The equations for these sides are:
Equation 1: y = 0
Equation 2: y = 1
Equation 3: x = 0
Equation 4: x = 1