Line slope calculator 5x-6y=-13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 3] and B[7; 8]

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x+2.1667

Canonical form of the line equation: 5x-6y+13 = 0

Parametric form of the line equation:
x = 6t+1
y = 5t+3      ; t ∈ R

Slope angle of line: φ = 39°48'20″ = 0.6947 rad

X intercept: x0 = -2.6

Y intercept: y0 = q = 2.1667

Distance line from the origin: d0 = 1.6645

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

Midpoint of the segment AB: M = [4; 5.5]

Perpendicular Bisector equation: 6x+5y-51.5 = 0

Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (7; 8) ;   |OB| = 10.6301
Scalar product OA .OB = 31
Angle ∠ AOB = 22°45'4″ = 0.3971 rad