Line slope calculator 2x-3y=-20


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 8] and B[5; 10]

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+2
y = 2t+8      ; 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 = [3.5; 9]

Perpendicular Bisector equation: 3x+2y-28.5 = 0

Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 90
Angle ∠ AOB = 12°31'44″ = 0.2187 rad