Line slope calculator 3x+2y=27


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 6] and B[7; 3]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+13.5

Canonical form of the line equation: 3x+2y-27 = 0

Parametric form of the line equation:
x = 2t+5
y = -3t+6      ; t ∈ R

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

X intercept: x0 = 9

Y intercept: y0 = q = 13.5

Distance line from the origin: d0 = 7.4885

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [6; 4.5]

Perpendicular Bisector equation: 2x-3y+1.5 = 0

Vector OA = (5; 6) ;   |OA| = 7.8102
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 53
Angle ∠ AOB = 26°59'45″ = 0.4712 rad