Line slope calculator 3x+y=23


Enter coordinates of two different points:

Straight line given by points A[5; 8] and B[6; 5]

Calculation:

Slope-intercept form of line: y = -3x+23

Canonical form of the line equation: 3x+y-23 = 0

Parametric form of the line equation:
x = t+5
y = -3t+8      ; t ∈ R

Slope: m = -3

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

X intercept: x0 = 7.6667

Y intercept: y0 = q = 23

Distance line from the origin: d0 = 7.2732

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

Vector: AB = (1; -3)

Normal vector: n = (3; 1)

Midpoint of the segment AB: M = [5.5; 6.5]

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


Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (6; 5) ;   |OB| = 7.8102
Scalar product OA .OB = 70
Angle ∠ AOB = 18°11'21″ = 0.3175 rad