Find the slope of a line parallel to the line whose equation is 13x−y=−1. Fully simplify your answer.
To find the slope of a line, we need to rewrite the equation in slope-intercept form: y = mx + b, where m is the slope.
Given equation: 13x - y = -1
Rearranging the equation:
-y = -13x - 1
y = 13x + 1
Now, the slope of the line is 13.
Since we are looking for a line parallel to this one, the slope will be the same, which is 13.
Therefore, the slope of a line parallel to the line 13x - y = -1 is 13.