Line slope calculator 5x-6y=20


Enter coordinates of two different points:

Straight line given by points A[4; 0] and B[10; 5]

Calculation:

Slope-intercept form of line: y = 0.8333x-3.3333

Canonical form of the line equation: 5x-6y-20 = 0

Parametric form of the line equation:
x = 6t+4
y = 5t      ; t ∈ R

Slope: m = 0.8333

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

X intercept: x0 = 4

Y intercept: y0 = q = -3.3333

Distance line from the origin: d0 = 2.5607

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

Midpoint of the segment AB: M = [7; 2.5]

Perpendicular Bisector equation: 6x+5y-54.5 = 0


Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad