Line slope calculator 5x-6y=-18


Enter coordinates of two different points:

Straight line given by points A[0; 3] and B[6; 8]

Calculation:

Slope-intercept form of line: y = 0.8333x+3

Canonical form of the line equation: 5x-6y+18 = 0

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

Slope: m = 0.8333

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

X intercept: x0 = -3.6

Y intercept: y0 = q = 3

Distance line from the origin: d0 = 2.3047

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; 5.5]

Perpendicular Bisector equation: 6x+5y-45.5 = 0


Vector OA = (0; 3) ;   |OA| = 3
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 24
Angle ∠ AOB = 36°52'12″ = 0.6435 rad