Line slope calculator 5x+y=51


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[9; 6] and B[10; 1]

Calculation:

Slope: m = -5

Slope-intercept form of line: y = -5x+51

Canonical form of the line equation: 5x+y-51 = 0

Parametric form of the line equation:
x = t+9
y = -5t+6      ; t ∈ R

Slope angle of line: φ = -78°41'24″ = -1.3734 rad

X intercept: x0 = 10.2

Y intercept: y0 = q = 51

Distance line from the origin: d0 = 10.0019

The length of the segment AB: |AB| = 5.099

Vector: AB = (1; -5)

Normal vector: n = (5; 1)

Midpoint of the segment AB: M = [9.5; 3.5]

Perpendicular Bisector equation: x-5y+8 = 0


Vector OA = (9; 6) ;   |OA| = 10.8167
Vector OB = (10; 1) ;   |OB| = 10.0499
Scalar product OA .OB = 96
Angle ∠ AOB = 27°58'46″ = 0.4883 rad