Line slope calculator 6x-7y=18


Enter coordinates of two different points:

Straight line given by points A[3; 0] and B[10; 6]

Calculation:

Slope-intercept form of line: y = 0.8571x-2.5714

Canonical form of the line equation: 6x-7y-18 = 0

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

Slope: m = 0.8571

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

X intercept: x0 = 3

Y intercept: y0 = q = -2.5714

Distance line from the origin: d0 = 1.9524

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; 3]

Perpendicular Bisector equation: 7x+6y-63.5 = 0


Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 30
Angle ∠ AOB = 30°57'50″ = 0.5404 rad