Line slope calculator x+3y=13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 4] and B[4; 3]

Calculation:

Slope: m = -0.3333

Slope-intercept form of line: y = -0.3333x+4.3333

Canonical form of the line equation: x+3y-13 = 0

Parametric form of the line equation:
x = 3t+1
y = -t+4      ; t ∈ R

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

X intercept: x0 = 13

Y intercept: y0 = q = 4.3333

Distance line from the origin: d0 = 4.111

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

Vector: AB = (3; -1)

Normal vector: n = (1; 3)

Midpoint of the segment AB: M = [2.5; 3.5]

Perpendicular Bisector equation: 3x-y-4 = 0

Vector OA = (1; 4) ;   |OA| = 4.1231
Vector OB = (4; 3) ;   |OB| = 5
Scalar product OA .OB = 16
Angle ∠ AOB = 39°5'38″ = 0.6823 rad