Answer:
-5/3.
Explanation:
To find the slope of a line perpendicular to another line, we need to remember that the slopes of two perpendicular lines are negative reciprocals of each other. To find the slope of the line perpendicular to 3x - 5y = 45, we need to first convert it to slope-intercept form, which is y = mx + b, where m is the slope of the line.
First, isolate the y-term:
3x - 5y = 45
5y = -3x + 45
y = -(3/5)x + 9
So the slope of the original line is -3/5. The slope of the line perpendicular to it would be the negative reciprocal of this slope, which is -5/3.
Therefore, the slope of a line perpendicular to 3x - 5y = 45 is -5/3.