Line slope calculator 6x+5y=52


Enter coordinates of two different points:

Straight line given by points A[2; 8] and B[7; 2]

Calculation:

Slope-intercept form of line: y = -1.2x+10.4

Canonical form of the line equation: 6x+5y-52 = 0

Parametric form of the line equation:
x = 5t+2
y = -6t+8      ; t ∈ R

Slope: m = -1.2

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

X intercept: x0 = 8.6667

Y intercept: y0 = q = 10.4

Distance line from the origin: d0 = 6.6579

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; 5]

Perpendicular Bisector equation: 5x-6y+7.5 = 0


Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (7; 2) ;   |OB| = 7.2801
Scalar product OA .OB = 30
Angle ∠ AOB = 60°1'6″ = 1.0475 rad