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Answer:
Step-by-step explanation:
step 1
Find the slope of line L
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
In this problem we have
Isolate the variable y
The slope of the given line is
so
The slope of the Line L is
step 2
Find the x-intercept of the line
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
The x-intercept is the point (5/2,0)
step 3
Find the equation of the line L
Find the equation of the line in point slope form
we have
substitute
Convert to standard form
AX +By+C
where
A is a positive integer
B and C are integers
Multiply both sides by 4