Line slope calculator 2x-3y=-5


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 3] and B[5; 5]

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+2
y = 2t+3      ; 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 = [3.5; 4]

Perpendicular Bisector equation: 3x+2y-18.5 = 0

Vector OA = (2; 3) ;   |OA| = 3.6056
Vector OB = (5; 5) ;   |OB| = 7.0711
Scalar product OA .OB = 25
Angle ∠ AOB = 11°18'36″ = 0.1974 rad