Line slope calculator 5x-6y=-30


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 5] and B[6; 10]

Calculation:

Slope: m = 0.8333

Slope-intercept form of line: y = 0.8333x+5

Canonical form of the line equation: 5x-6y+30 = 0

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

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

X intercept: x0 = -6

Y intercept: y0 = q = 5

Distance line from the origin: d0 = 3.8411

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

Vector: AB = (6; 5)

Normal vector: n = (5; -6)

Midpoint of the segment AB: M = [3; 7.5]

Perpendicular Bisector equation: 6x+5y-55.5 = 0

Vector OA = (0; 5) ;   |OA| = 5
Vector OB = (6; 10) ;   |OB| = 11.6619
Scalar product OA .OB = 50
Angle ∠ AOB = 30°57'50″ = 0.5404 rad