Line slope calculator 2x+8y=68


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 8] and B[10; 6]

Calculation:

Slope: m = -0.25

Slope-intercept form of line: y = -0.25x+8.5

Canonical form of the line equation: 2x+8y-68 = 0

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

Slope angle of line: φ = -14°2'10″ = -0.245 rad

X intercept: x0 = 34

Y intercept: y0 = q = 8.5

Distance line from the origin: d0 = 8.2462

The length of the segment AB: |AB| = 8.2462

Vector: AB = (8; -2)

Normal vector: n = (2; 8)

Midpoint of the segment AB: M = [6; 7]

Perpendicular Bisector equation: 8x-2y-34 = 0

Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 68
Angle ∠ AOB = 45° = 0.7854 rad