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.
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.