Line slope calculator 6x+2y=20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 10] and B[2; 4]

Calculation:

Slope: m = -3

Slope-intercept form of line: y = -3x+10

Canonical form of the line equation: 6x+2y-20 = 0

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

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

X intercept: x0 = 3.3333

Y intercept: y0 = q = 10

Distance line from the origin: d0 = 3.1623

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

Vector: AB = (2; -6)

Normal vector: n = (6; 2)

Midpoint of the segment AB: M = [1; 7]

Perpendicular Bisector equation: 2x-6y+40 = 0


Vector OA = (0; 10) ;   |OA| = 10
Vector OB = (2; 4) ;   |OB| = 4.4721
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad