Line slope calculator 5x-8y=-14
Straight line given by points A[2; 3] and B[10; 8]
Calculation:
Slope: m = 0.625Slope-intercept form of line: y = 0.625x+1.75
Canonical form of the line equation: 5x-8y+14 = 0
Parametric form of the line equation:
x = 8t+2
y = 5t+3 ; t ∈ R
Slope angle of line: φ = 32°19″ = 0.5586 rad
X intercept: x0 = -2.8
Y intercept: y0 = q = 1.75
Distance line from the origin: d0 = 1.484
The length of the segment AB: |AB| = 9.434
Vector: AB = (8; 5)
Normal vector: n = (5; -8)
Midpoint of the segment AB: M = [6; 5.5]
Perpendicular Bisector equation: 8x+5y-75.5 = 0
Vector OA = (2; 3) ; |OA| = 3.6056
Vector OB = (10; 8) ; |OB| = 12.8062
Scalar product OA .OB = 44
Angle ∠ AOB = 17°39' = 0.3081 rad