Line slope calculator 3x+2y=9


Enter coordinates of two different points:

Straight line given by points A[1; 3] and B[3; 0]

Calculation:

Slope-intercept form of line: y = -1.5x+4.5

Canonical form of the line equation: 3x+2y-9 = 0

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

Slope: m = -1.5

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

X intercept: x0 = 3

Y intercept: y0 = q = 4.5

Distance line from the origin: d0 = 2.4962

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; 1.5]

Perpendicular Bisector equation: 2x-3y+0.5 = 0


Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (3; 0) ;   |OB| = 3
Scalar product OA .OB = 3
Angle ∠ AOB = 71°33'54″ = 1.249 rad