Line slope calculator 3x-8y=6


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 0] and B[10; 3]

Calculation:

Slope: m = 0.375

Slope-intercept form of line: y = 0.375x-0.75

Canonical form of the line equation: 3x-8y-6 = 0

Parametric form of the line equation:
x = 8t+2
y = 3t      ; t ∈ R

Slope angle of line: φ = 20°33'22″ = 0.3588 rad

X intercept: x0 = 2

Y intercept: y0 = q = -0.75

Distance line from the origin: d0 = 0.7022

The length of the segment AB: |AB| = 8.544

Vector: AB = (8; 3)

Normal vector: n = (3; -8)

Midpoint of the segment AB: M = [6; 1.5]

Perpendicular Bisector equation: 8x+3y-52.5 = 0

Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 20
Angle ∠ AOB = 16°41'57″ = 0.2915 rad