Line slope calculator 6x-7y=4


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 2] and B[10; 8]

Calculation:

Slope: m = 0.8571

Slope-intercept form of line: y = 0.8571x-0.5714

Canonical form of the line equation: 6x-7y-4 = 0

Parametric form of the line equation:
x = 7t+3
y = 6t+2      ; t ∈ R

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

X intercept: x0 = 0.6667

Y intercept: y0 = q = -0.5714

Distance line from the origin: d0 = 0.4339

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

Vector: AB = (7; 6)

Normal vector: n = (6; -7)

Midpoint of the segment AB: M = [6.5; 5]

Perpendicular Bisector equation: 7x+6y-75.5 = 0

Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (10; 8) ;   |OB| = 12.8062
Scalar product OA .OB = 46
Angle ∠ AOB = 4°58'11″ = 0.0867 rad