Find the slope of a line parallel to 3x – y = 1.

We will use the concept of straight lines to find the slope of a line parallel to 3x – y = 1.

Answer: The slope of a line parallel to 3x – y = 1 is equal to 3.

Let's see how we will use the concept of straight lines to find the slope of a line parallel to 3x – y = 1. 

Explanation:

We know that when two lines are parallel, the slope of both the lines is equal.

Hence, the slope of the parallel line is equal to the slope of the given line 3x – y = 1.

We know that,

The standard form of a straight line is given by,

y = mx + c

where, m = slope of the line and c = y-intercept value

Thus, representing 3x - y = 1 in standard form we get,

y = 3x - 1

Thus, m = 3 and c = -1

Therefore, the slope of the given line 3x - y = 1, and the line parallel to it is equal to 3.