Line slope calculator 3x-2y=6


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[4; 3]

Calculation:

Slope-intercept form of line: y = 1.5x-3

Canonical form of the line equation: 3x-2y-6 = 0

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

Slope: m = 1.5

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

X intercept: x0 = 2

Y intercept: y0 = q = -3

Distance line from the origin: d0 = 1.6641

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [3; 1.5]

Perpendicular Bisector equation: 2x+3y-10.5 = 0


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (4; 3) ;   |OB| = 5
Scalar product OA .OB = 8
Angle ∠ AOB = 36°52'12″ = 0.6435 rad