Slope of the parallel line = -5/2
Slope of the perpendicular line = 2/5
Explanations:The given equation of the line is:
[tex]y\text{ = }\frac{-5}{2}x\text{ + 9}[/tex]The slope-intercept form of the equation of a line is:
y = mx + c
where m is the slope of the line
and c is the y-intercept
Comparing this to the given equation
m = -5/2
c = 9
Note:
When two equations are parallel, they have equal slope
When two equations are perpendicular, the product of their slopes equals -1, that is slope of the perpendicular line = -1/m
The slope of the parallel line = -5/2
The slope of the perpendicular line = -1 ÷ (-5/2)
The slope of the perpendicular line = -1 x (-2/5)
The slope of the perpendicular line = 2 / 5
