Line slope calculator 6x+5y=42


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 6] and B[7; 0]

Calculation:

Slope: m = -1.2

Slope-intercept form of line: y = -1.2x+8.4

Canonical form of the line equation: 6x+5y-42 = 0

Parametric form of the line equation:
x = 5t+2
y = -6t+6      ; t ∈ R

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

X intercept: x0 = 7

Y intercept: y0 = q = 8.4

Distance line from the origin: d0 = 5.3775

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

Vector: AB = (5; -6)

Normal vector: n = (6; 5)

Midpoint of the segment AB: M = [4.5; 3]

Perpendicular Bisector equation: 5x-6y-4.5 = 0

Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (7; 0) ;   |OB| = 7
Scalar product OA .OB = 14
Angle ∠ AOB = 71°33'54″ = 1.249 rad