Line slope calculator x-3y=-12


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.3333

Slope-intercept form of line: y = 0.3333x+4

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

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

Slope angle of line: φ = 18°26'6″ = 0.3218 rad

X intercept: x0 = -12

Y intercept: y0 = q = 4

Distance line from the origin: d0 = 3.7947

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

Vector: AB = (3; 1)

Normal vector: n = (1; -3)

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

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


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