Line slope calculator 5x+3y=54
Straight line given by points A[6; 8] and B[9; 3]
Calculation:
Slope: m = -1.6667Slope-intercept form of line: y = -1.6667x+18
Canonical form of the line equation: 5x+3y-54 = 0
Parametric form of the line equation:
x = 3t+6
y = -5t+8 ; t ∈ R
Slope angle of line: φ = -59°2'10″ = -1.0304 rad
X intercept: x0 = 10.8
Y intercept: y0 = q = 18
Distance line from the origin: d0 = 9.2609
The length of the segment AB: |AB| = 5.831
Vector: AB = (3; -5)
Normal vector: n = (5; 3)
Midpoint of the segment AB: M = [7.5; 5.5]
Perpendicular Bisector equation: 3x-5y+5 = 0
Vector OA = (6; 8) ; |OA| = 10
Vector OB = (9; 3) ; |OB| = 9.4868
Scalar product OA .OB = 78
Angle ∠ AOB = 34°41'43″ = 0.6055 rad