Line slope calculator 3x-2y=1


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 1.5x-0.5

Canonical form of the line equation: 3x-2y-1 = 0

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

Slope: m = 1.5

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

X intercept: x0 = 0.3333

Y intercept: y0 = q = -0.5

Distance line from the origin: d0 = 0.2774

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [2; 2.5]

Perpendicular Bisector equation: 2x+3y-11.5 = 0


Vector OA = (1; 1) ;   |OA| = 1.4142
Vector OB = (3; 4) ;   |OB| = 5
Scalar product OA .OB = 7
Angle ∠ AOB = 8°7'48″ = 0.1419 rad