Line slope calculator 3x+2y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 8] and B[9; 5]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+18.5

Canonical form of the line equation: 3x+2y-37 = 0

Parametric form of the line equation:
x = 2t+7
y = -3t+8      ; t ∈ R

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

X intercept: x0 = 12.3333

Y intercept: y0 = q = 18.5

Distance line from the origin: d0 = 10.262

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [8; 6.5]

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

Vector OA = (7; 8) ;   |OA| = 10.6301
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 103
Angle ∠ AOB = 19°45'34″ = 0.3449 rad