Line slope calculator 3x-2y=21


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 0] and B[9; 3]

Calculation:

Slope: m = 1.5

Slope-intercept form of line: y = 1.5x-10.5

Canonical form of the line equation: 3x-2y-21 = 0

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

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

X intercept: x0 = 7

Y intercept: y0 = q = -10.5

Distance line from the origin: d0 = 5.8244

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; 1.5]

Perpendicular Bisector equation: 2x+3y-20.5 = 0

Vector OA = (7; 0) ;   |OA| = 7
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 63
Angle ∠ AOB = 18°26'6″ = 0.3218 rad