Step-by-step explanation:
First consider the given line 8x = 2y - 5. This can be rewritten as
2y = 8x + 5
y = (8x + 5)/2 = 4x + 2.5
The line is y = 4x + 2.5. This is of the form y = mx + b.
On comparing, we see that the slope of the given line is m = 4
Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.
We know that for two lines to be perpendicular, the product of the slopes = -1
So, m * m' = -1
4 * m' = -1
m' = -1/4
Answer: Slope of the perpendicular line is -1/4.
