Line slope calculator 3x-y=27


Enter coordinates of two different points:

Straight line given by points A[9; 0] and B[10; 3]

Calculation:

Slope-intercept form of line: y = 3x-27

Canonical form of the line equation: 3x-y-27 = 0

Parametric form of the line equation:
x = t+9
y = 3t      ; t ∈ R

Slope: m = 3

Slope angle of line: φ = 71°33'54″ = 1.249 rad

X intercept: x0 = 9

Y intercept: y0 = q = -27

Distance line from the origin: d0 = 8.5381

The length of the segment AB: |AB| = 3.1623

Vector: AB = (1; 3)

Normal vector: n = (3; -1)

Midpoint of the segment AB: M = [9.5; 1.5]

Perpendicular Bisector equation: x+3y-14 = 0


Vector OA = (9; 0) ;   |OA| = 9
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 90
Angle ∠ AOB = 16°41'57″ = 0.2915 rad