Line slope calculator 3x+2y=19


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[3; 5]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+9.5

Canonical form of the line equation: 3x+2y-19 = 0

Parametric form of the line equation:
x = 2t+1
y = -3t+8      ; t ∈ R

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

X intercept: x0 = 6.3333

Y intercept: y0 = q = 9.5

Distance line from the origin: d0 = 5.2697

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; 6.5]

Perpendicular Bisector equation: 2x-3y+15.5 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (3; 5) ;   |OB| = 5.831
Scalar product OA .OB = 43
Angle ∠ AOB = 23°50'19″ = 0.4161 rad