Line slope calculator 2x+3y=8


Enter coordinates of two different points:

Straight line given by points A[1; 2] and B[4; 0]

Calculation:

Slope-intercept form of line: y = -0.6667x+2.6667

Canonical form of the line equation: 2x+3y-8 = 0

Parametric form of the line equation:
x = 3t+1
y = -2t+2      ; t ∈ R

Slope: m = -0.6667

Slope angle of line: φ = -33°41'24″ = -0.588 rad

X intercept: x0 = 4

Y intercept: y0 = q = 2.6667

Distance line from the origin: d0 = 2.2188

The length of the segment AB: |AB| = 3.6056

Vector: AB = (3; -2)

Normal vector: n = (2; 3)

Midpoint of the segment AB: M = [2.5; 1]

Perpendicular Bisector equation: 3x-2y-5.5 = 0


Vector OA = (1; 2) ;   |OA| = 2.2361
Vector OB = (4; 0) ;   |OB| = 4
Scalar product OA .OB = 4
Angle ∠ AOB = 63°26'6″ = 1.1071 rad