Line slope calculator 3x+8y=54


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[10; 3]

Calculation:

Slope: m = -0.375

Slope-intercept form of line: y = -0.375x+6.75

Canonical form of the line equation: 3x+8y-54 = 0

Parametric form of the line equation:
x = 8t+2
y = -3t+6      ; t ∈ R

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

X intercept: x0 = 18

Y intercept: y0 = q = 6.75

Distance line from the origin: d0 = 6.3202

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; 4.5]

Perpendicular Bisector equation: 8x-3y-34.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 38
Angle ∠ AOB = 54°51'57″ = 0.9576 rad