Line slope calculator 6x+5y=50


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.2x+10

Canonical form of the line equation: 6x+5y-50 = 0

Parametric form of the line equation:
x = 5t
y = -6t+10      ; t ∈ R

Slope: m = -1.2

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

X intercept: x0 = 8.3333

Y intercept: y0 = q = 10

Distance line from the origin: d0 = 6.4018

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

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

Perpendicular Bisector equation: 5x-6y+29.5 = 0


Vector OA = (0; 10) ;   |OA| = 10
Vector OB = (5; 4) ;   |OB| = 6.4031
Scalar product OA .OB = 40
Angle ∠ AOB = 51°20'25″ = 0.8961 rad