Line slope calculator 5x-8y=-14


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 3] and B[10; 8]

Calculation:

Slope: m = 0.625

Slope-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