Line slope calculator 6x+5y=54


Enter coordinates of two different points:

Straight line given by points A[4; 6] and B[9; 0]

Calculation:

Slope-intercept form of line: y = -1.2x+10.8

Canonical form of the line equation: 6x+5y-54 = 0

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

Slope: m = -1.2

Slope angle of line: φ = -50°11'40″ = -0.8761 rad

X intercept: x0 = 9

Y intercept: y0 = q = 10.8

Distance line from the origin: d0 = 6.914

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

Midpoint of the segment AB: M = [6.5; 3]

Perpendicular Bisector equation: 5x-6y-14.5 = 0


Vector OA = (4; 6) ;   |OA| = 7.2111
Vector OB = (9; 0) ;   |OB| = 9
Scalar product OA .OB = 36
Angle ∠ AOB = 56°18'36″ = 0.9828 rad