Line slope calculator 6x-y=16


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 2] and B[4; 8]

Calculation:

Slope: m = 6

Slope-intercept form of line: y = 6x-16

Canonical form of the line equation: 6x-y-16 = 0

Parametric form of the line equation:
x = t+3
y = 6t+2      ; t ∈ R

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

X intercept: x0 = 2.6667

Y intercept: y0 = q = -16

Distance line from the origin: d0 = 2.6304

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

Vector: AB = (1; 6)

Normal vector: n = (6; -1)

Midpoint of the segment AB: M = [3.5; 5]

Perpendicular Bisector equation: x+6y-33.5 = 0


Vector OA = (3; 2) ;   |OA| = 3.6056
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 28
Angle ∠ AOB = 29°44'42″ = 0.5191 rad