Find the slope of a line parallel to the line whose equation is 15x -6y =54. Fully simplify your answer.
To find the slope of a line parallel to another line, we need to find the slope of the given line first. To find the slope, we can rearrange the given equation into slope-intercept form, y = mx + b, where m is the slope of the line.
Starting with 15x - 6y = 54, let's isolate y:
-6y = -15x + 54
Dividing by -6, we get:
y = 5/2x - 9
So the slope of the given line is 5/2.
Since lines that are parallel have the same slope, the slope of any line parallel to the given line is also 5/2.