Line slope calculator 3x-2y=-4


Enter coordinates of two different points:

Straight line given by points A[0; 2] and B[2; 5]

Calculation:

Slope-intercept form of line: y = 1.5x+2

Canonical form of the line equation: 3x-2y+4 = 0

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

Slope: m = 1.5

Slope angle of line: φ = 56°18'36″ = 0.9828 rad

X intercept: x0 = -1.3333

Y intercept: y0 = q = 2

Distance line from the origin: d0 = 1.1094

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [1; 3.5]

Perpendicular Bisector equation: 2x+3y-12.5 = 0


Vector OA = (0; 2) ;   |OA| = 2
Vector OB = (2; 5) ;   |OB| = 5.3852
Scalar product OA .OB = 10
Angle ∠ AOB = 21°48'5″ = 0.3805 rad