Line slope calculator 2x+3y=32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[4; 8]

Calculation:

Slope: m = -0.6667

Slope-intercept form of line: y = -0.6667x+10.6667

Canonical form of the line equation: 2x+3y-32 = 0

Parametric form of the line equation:
x = 3t+1
y = -2t+10      ; t ∈ R

Slope angle of line: φ = -33°41'24″ = -0.588 rad

X intercept: x0 = 16

Y intercept: y0 = q = 10.6667

Distance line from the origin: d0 = 8.8752

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

Vector: AB = (3; -2)

Normal vector: n = (2; 3)

Midpoint of the segment AB: M = [2.5; 9]

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


Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 84
Angle ∠ AOB = 20°51'16″ = 0.364 rad