Given the equations of two lines, describe how to determine if the lines are parallel.

Coordinate Geometry is a very important topic in mathematics in which various equations are represented as curves on the cartesian, polar, or other types of planes.

Answer: If the slopes of the given lines are equal, then we can say that the given lines are parallel.

Let us proceed step by step.

Explanation:

Parallel lines have a unique property of the same slope but not the same intercept value.

Let us consider two straight lines whose equations are given below

y = m₁x + c₁ and y = m₂x + c₂

Now to check whether two given lines are parallel or not, we need to check their slopes.

If the slopes of both the equations are equal that is m₁ = m₂, then we say that the given lines are parallel.

Hence, if the slopes of the given lines are equal then we can say that the given lines are parallel.