Line slope calculator 2x+3y=20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[4; 4]

Calculation:

Slope: m = -0.6667

Slope-intercept form of line: y = -0.6667x+6.6667

Canonical form of the line equation: 2x+3y-20 = 0

Parametric form of the line equation:
x = 3t+1
y = -2t+6      ; t ∈ R

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

X intercept: x0 = 10

Y intercept: y0 = q = 6.6667

Distance line from the origin: d0 = 5.547

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; 5]

Perpendicular Bisector equation: 3x-2y+2.5 = 0

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (4; 4) ;   |OB| = 5.6569
Scalar product OA .OB = 28
Angle ∠ AOB = 35°32'16″ = 0.6202 rad