Line slope calculator 6x+2y=62


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 10] and B[9; 4]

Calculation:

Slope: m = -3

Slope-intercept form of line: y = -3x+31

Canonical form of the line equation: 6x+2y-62 = 0

Parametric form of the line equation:
x = 2t+7
y = -6t+10      ; t ∈ R

Slope angle of line: φ = -71°33'54″ = -1.249 rad

X intercept: x0 = 10.3333

Y intercept: y0 = q = 31

Distance line from the origin: d0 = 9.8031

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

Vector: AB = (2; -6)

Normal vector: n = (6; 2)

Midpoint of the segment AB: M = [8; 7]

Perpendicular Bisector equation: 2x-6y+26 = 0

Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 103
Angle ∠ AOB = 31°2'44″ = 0.5418 rad