Direct variation is of the form y=kx. We are given the point (8, -4) so we can solve for k, the constant of variation...
-4=8k, divide both sides by 8
-4/8=k
k=-0.5, so our equation is:
y=-0.5x,
The given lines are perpendicular to each other.
Further explanation:
Given lines are:
Line 1: y= -9/5x + 1/5
Line 2: y= 5/9x + 2/9
As the lines are in slope=intercept form, the co-efficient of x are their slopes
Let m1 be the slope of line 1 and m2 be the slope of line 2
Then

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.
The given lines are perpendicular to each other.
Keywords: Slope, slope-intercept form
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Answer: y=7+-7
Step-by-step explanation: