Line slope calculator 3x+2y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 6] and B[6; 3]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+12

Canonical form of the line equation: 3x+2y-24 = 0

Parametric form of the line equation:
x = 2t+4
y = -3t+6      ; t ∈ R

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

X intercept: x0 = 8

Y intercept: y0 = q = 12

Distance line from the origin: d0 = 6.6564

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [5; 4.5]

Perpendicular Bisector equation: 2x-3y+3.5 = 0

Vector OA = (4; 6) ;   |OA| = 7.2111
Vector OB = (6; 3) ;   |OB| = 6.7082
Scalar product OA .OB = 42
Angle ∠ AOB = 29°44'42″ = 0.5191 rad