Line slope calculator 3x-y=15


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 0] and B[6; 3]

Calculation:

Slope: m = 3

Slope-intercept form of line: y = 3x-15

Canonical form of the line equation: 3x-y-15 = 0

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

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

X intercept: x0 = 5

Y intercept: y0 = q = -15

Distance line from the origin: d0 = 4.7434

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; 1.5]

Perpendicular Bisector equation: x+3y-10 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 30
Angle ∠ AOB = 26°33'54″ = 0.4636 rad