The slope of a line parallel to this line is -5/4 and the slope of a line perpendicular to this line is 4/5
The equation is given as:
y = -5/4x + 4
A linear equation is represented as:
y = mx + b
Where m represents the slope.
By comparison, we have:
m = -5/4
Parallel lines have equal slope.
This means that the slope of a line parallel to this line is -5/4
The relationship between the slopes of perpendicular lines is:
Slope 2 = -1/Slope 1
So, we have:
Slope 2 = -1/(-5/4)
This gives
Slope 2 = 4/5
Hence, the slope of a line perpendicular to this line is 4/5
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