Learn Math Questions

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# 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 = m_{1}x + c_{1 }and y = m_{2}x + c_{2}

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 m_{1} = m_{2}, 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.

Math worksheets and

visual curriculum

visual curriculum