Line slope calculator 6x-5y=12


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 0] and B[7; 6]

Calculation:

Slope: m = 1.2

Slope-intercept form of line: y = 1.2x-2.4

Canonical form of the line equation: 6x-5y-12 = 0

Parametric form of the line equation:
x = 5t+2
y = 6t      ; t ∈ R

Slope angle of line: φ = 50°11'40″ = 0.8761 rad

X intercept: x0 = 2

Y intercept: y0 = q = -2.4

Distance line from the origin: d0 = 1.5364

The length of the segment AB: |AB| = 7.8102

Vector: AB = (5; 6)

Normal vector: n = (6; -5)

Midpoint of the segment AB: M = [4.5; 3]

Perpendicular Bisector equation: 5x+6y-40.5 = 0

Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (7; 6) ;   |OB| = 9.2195
Scalar product OA .OB = 14
Angle ∠ AOB = 40°36'5″ = 0.7086 rad