Line slope calculator 4x-3y=20


Enter coordinates of two different points:

Straight line given by points A[5; 0] and B[8; 4]

Calculation:

Slope-intercept form of line: y = 1.3333x-6.6667

Canonical form of the line equation: 4x-3y-20 = 0

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

Slope: m = 1.3333

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

X intercept: x0 = 5

Y intercept: y0 = q = -6.6667

Distance line from the origin: d0 = 4

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; 2]

Perpendicular Bisector equation: 3x+4y-27.5 = 0


Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 40
Angle ∠ AOB = 26°33'54″ = 0.4636 rad