Consider the line \( 6 x-5 y=3 \). What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line:

The given equation of the line is \( 6x - 5y = 3 \). To find the slope, we can rewrite it in the slope-intercept form \( y = mx + b \). Rearranging gives us \( y = \frac{6}{5}x - \frac{3}{5} \), so the slope (m) is \( \frac{6}{5} \). The slope of a line perpendicular to this line is the negative reciprocal of \( \frac{6}{5} \), which is \( -\frac{5}{6} \). The slope of a line parallel to this line is the same as the original line's slope, which is \( \frac{6}{5} \).