Answer
perpendicular
Work Step by Step
To determine if two lines are perpendicular, parallel, or neither, we need to look at their slopes.
Perpendicular lines have slopes that are negative reciprocals of one another. Parallel lines have the same slope.
The lines given are in slope-intercept form, which is given by the formula:
$y = mx + b$, where $m$ is the slope of the line, and $b$ is its y-intercept.
In the equation $y = -\frac{3}{5}x + 1$, the slope is $-\frac{3}{5}$.
In the equation $y = \frac{5}{3}x - 3$, the slope is $\frac{5}{3}$.
Since the slopes are negative reciprocals of one another, these lines are perpendicular.
