Line slope calculator 6x+7y=54


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.8571

Slope-intercept form of line: y = -0.8571x+7.7143

Canonical form of the line equation: 6x+7y-54 = 0

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

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

X intercept: x0 = 9

Y intercept: y0 = q = 7.7143

Distance line from the origin: d0 = 5.8571

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-20.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 18
Angle ∠ AOB = 71°33'54″ = 1.249 rad