Line slope calculator x-6y=-15


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 3] and B[9; 4]

Calculation:

Slope: m = 0.1667

Slope-intercept form of line: y = 0.1667x+2.5

Canonical form of the line equation: x-6y+15 = 0

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

Slope angle of line: φ = 9°27'44″ = 0.1651 rad

X intercept: x0 = -15

Y intercept: y0 = q = 2.5

Distance line from the origin: d0 = 2.466

The length of the segment AB: |AB| = 6.0828

Vector: AB = (6; 1)

Normal vector: n = (1; -6)

Midpoint of the segment AB: M = [6; 3.5]

Perpendicular Bisector equation: 6x+y-39.5 = 0

Vector OA = (3; 3) ;   |OA| = 4.2426
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 39
Angle ∠ AOB = 21°2'15″ = 0.3672 rad