Line slope calculator 6x-7y=12


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 0] and B[9; 6]

Calculation:

Slope: m = 0.8571

Slope-intercept form of line: y = 0.8571x-1.7143

Canonical form of the line equation: 6x-7y-12 = 0

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

Slope angle of line: φ = 40°36'5″ = 0.7086 rad

X intercept: x0 = 2

Y intercept: y0 = q = -1.7143

Distance line from the origin: d0 = 1.3016

The length of the segment AB: |AB| = 9.2195

Vector: AB = (7; 6)

Normal vector: n = (6; -7)

Midpoint of the segment AB: M = [5.5; 3]

Perpendicular Bisector equation: 7x+6y-56.5 = 0

Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 18
Angle ∠ AOB = 33°41'24″ = 0.588 rad