Line slope calculator 5x-6y=10


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[8; 5]

Calculation:

Slope-intercept form of line: y = 0.8333x-1.6667

Canonical form of the line equation: 5x-6y-10 = 0

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

Slope: m = 0.8333

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

X intercept: x0 = 2

Y intercept: y0 = q = -1.6667

Distance line from the origin: d0 = 1.2804

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

Midpoint of the segment AB: M = [5; 2.5]

Perpendicular Bisector equation: 6x+5y-42.5 = 0


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 16
Angle ∠ AOB = 32°19″ = 0.5586 rad