Line slope calculator 3x-y=12


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 0] and B[5; 3]

Calculation:

Slope: m = 3

Slope-intercept form of line: y = 3x-12

Canonical form of the line equation: 3x-y-12 = 0

Parametric form of the line equation:
x = t+4
y = 3t      ; t ∈ R

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

X intercept: x0 = 4

Y intercept: y0 = q = -12

Distance line from the origin: d0 = 3.7947

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

Vector: AB = (1; 3)

Normal vector: n = (3; -1)

Midpoint of the segment AB: M = [4.5; 1.5]

Perpendicular Bisector equation: x+3y-9 = 0

Vector OA = (4; 0) ;   |OA| = 4
Vector OB = (5; 3) ;   |OB| = 5.831
Scalar product OA .OB = 20
Angle ∠ AOB = 30°57'50″ = 0.5404 rad