Line slope calculator 6x-y=30


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 6

Slope-intercept form of line: y = 6x-30

Canonical form of the line equation: 6x-y-30 = 0

Parametric form of the line equation:
x = t+5
y = 6t      ; t ∈ R

Slope angle of line: φ = 80°32'16″ = 1.4056 rad

X intercept: x0 = 5

Y intercept: y0 = q = -30

Distance line from the origin: d0 = 4.932

The length of the segment AB: |AB| = 6.0828

Vector: AB = (1; 6)

Normal vector: n = (6; -1)

Midpoint of the segment AB: M = [5.5; 3]

Perpendicular Bisector equation: x+6y-23.5 = 0

Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (6; 6) ;   |OB| = 8.4853
Scalar product OA .OB = 30
Angle ∠ AOB = 45° = 0.7854 rad