The product of the slopes of the lines is given by m1*m2 = c/a = 1/2 = -2.

Factoring gives (2x - 3y)(2x - 3y) = 0, indicating the lines are coincident.

The discriminant of the quadratic equation is positive, indicating two distinct real roots.

The discriminant of the quadratic equation is negative, indicating imaginary lines.

Rearranging gives (x-2)^2 + (y-2)^2 = 0, which represents two intersecting lines.

To determine the nature of the lines, we can rewrite the equation in the form of (x - a)^2 + (y - b)^2 = r^2 and analyze the discriminant.

Rearranging gives (x-2)^2 + (y-3)^2 = 0, which represents a single point, hence the lines are coincident.

To determine the nature of the lines, we can find the slopes from the equation. The product of the slopes will help us conclude if they are perpendicular.

The given equation can be factored as (x - 2y)(x - 2y) = 0, indicating that the lines are perpendicular.

The slopes can be found by solving the quadratic equation derived from the given equation.

Using the quadratic formula, the slopes are found to be -3/5 and -2/5.

The slopes can be calculated using the quadratic formula, yielding -3/5 and -2/5.

Using the formula for the angle between two lines, we find that the angle is 90 degrees.

The angle can be calculated using the slopes derived from the equation, leading to 90 degrees.

By completing the square, we can find the slopes of the lines and calculate the angle between them.

The condition for the lines to be parallel is given by h^2 = ab.

The lines are coincident if the discriminant D of the quadratic equation is zero.

The condition for parallel lines is that the determinant of the coefficients must be zero.

The equation can be factored to find the slopes, which are both 1.

Factoring gives (x - 3y)^2 = 0, indicating a double root, hence the slope is 3.