Find the slope of a line perpendicular to the line whose equation is 15x-12y=216. Fully simplify your answer
To find the slope of the line given by the equation 15x - 12y = 216, we first need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.
15x - 12y = 216
-12y = -15x + 216
y = (5/4)x - 18
Now, the slope of this line is 5/4.
The slope of a line perpendicular to another line is the negative reciprocal of the slope of the original line.
So, the slope of the line perpendicular to the line with the equation 15x - 12y = 216 is -4/5.