Line slope calculator 2x-6y=-42


Enter coordinates of two different points:

Straight line given by points A[3; 8] and B[9; 10]

Calculation:

Slope-intercept form of line: y = 0.3333x+7

Canonical form of the line equation: 2x-6y+42 = 0

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

Slope: m = 0.3333

Slope angle of line: φ = 18°26'6″ = 0.3218 rad

X intercept: x0 = -21

Y intercept: y0 = q = 7

Distance line from the origin: d0 = 6.6408

The length of the segment AB: |AB| = 6.3246

Vector: AB = (6; 2)

Normal vector: n = (2; -6)

Midpoint of the segment AB: M = [6; 9]

Perpendicular Bisector equation: 6x+2y-54 = 0


Vector OA = (3; 8) ;   |OA| = 8.544
Vector OB = (9; 10) ;   |OB| = 13.4536
Scalar product OA .OB = 107
Angle ∠ AOB = 21°25'52″ = 0.374 rad