Answer:
No relation ( see bottom for detail )
I'm not sure if you want this explanation, but here you go.
Explanation:
If you want to find out if the points are on this line, substitute in the values.
y = 2/5x - 4 y = 2/5x - 4
6 = 2/5 ( 4 ) - 4 9 = 2/5 ( -2 ) - 4
6 = 8/5 -4 9 = -4/5 - 4
6 = 8/5 - 20/5 9 = -4/5 - 20/5
6 ≠ -12/5 9 ≠ -24/5
After substituting in the values, I've come to the conclusion that these points don't pass through this line.
Solving to find if they are perpendicular, I use the rise/run equation-
y_2 - y_1 over x_2 - x_1
y_2 and x_2 is the second set of points, which then can help determine the slope of two points.
6 - 9
4 - ( negative 2 ) ( this is also equal to adding a positive 2 )
-3 / 6
= -1/2 is the slope of these two points
Comparing the slopes given, I can conclude that the equation and these two points have no relation.