SOLUTION: Determine the slope and the angle of inclination of the line joining the point ( -2,5 ) and ( 3,-6 )

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Question 737125: Determine the slope and the angle of inclination of the line joining the point ( -2,5 ) and ( 3,-6 )
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The tangent of the angle will be ( change in y ) / ( change in x )
+tan%28+a+%29+=+%28+5+-%28-6%29+%29+%2F+%28+-2+-+3+%29+
+tan%28+a+%29+=+11+%2F+%28-5%29+
+tan%28+a+%29+=+-2.2+ ( this is the slope )
+a+=+arctan%28+-2.2+%29+
+a+=+114.444+ degrees
The inclination is ++-%28180+-+114.444+%29+ = -65.556 degrees
The slope is negative, so I think the inclination would be negative, too

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x1 y1 x2 y2
-2 5 3 -6

slope m = (y2-y1)/(x2-x1)
( -6 - 5 )/( 3 - -2 )
( -11 / 5 )
m= -2 1/5
slope = -11/5
Tan theta = -11/5
Theta = tan ^-1(11/5)
theta = -65.55 deg