Line slope calculator 2x-3y=5


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 1] and B[7; 3]

Calculation:

Slope: m = 0.6667

Slope-intercept form of line: y = 0.6667x-1.6667

Canonical form of the line equation: 2x-3y-5 = 0

Parametric form of the line equation:
x = 3t+4
y = 2t+1      ; t ∈ R

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

X intercept: x0 = 2.5

Y intercept: y0 = q = -1.6667

Distance line from the origin: d0 = 1.3868

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

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [5.5; 2]

Perpendicular Bisector equation: 3x+2y-20.5 = 0

Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 31
Angle ∠ AOB = 9°9'44″ = 0.1599 rad