Line slope calculator 4x-3y=14


Enter coordinates of two different points:

Straight line given by points A[5; 2] and B[8; 6]

Calculation:

Slope-intercept form of line: y = 1.3333x-4.6667

Canonical form of the line equation: 4x-3y-14 = 0

Parametric form of the line equation:
x = 3t+5
y = 4t+2      ; t ∈ R

Slope: m = 1.3333

Slope angle of line: φ = 53°7'48″ = 0.9273 rad

X intercept: x0 = 3.5

Y intercept: y0 = q = -4.6667

Distance line from the origin: d0 = 2.8

The length of the segment AB: |AB| = 5

Vector: AB = (3; 4)

Normal vector: n = (4; -3)

Midpoint of the segment AB: M = [6.5; 4]

Perpendicular Bisector equation: 3x+4y-35.5 = 0


Vector OA = (5; 2) ;   |OA| = 5.3852
Vector OB = (8; 6) ;   |OB| = 10
Scalar product OA .OB = 52
Angle ∠ AOB = 15°4'7″ = 0.263 rad