Line slope calculator 7x+3y=72


Enter coordinates of two different points:

Straight line given by points A[6; 10] and B[9; 3]

Calculation:

Slope-intercept form of line: y = -2.3333x+24

Canonical form of the line equation: 7x+3y-72 = 0

Parametric form of the line equation:
x = 3t+6
y = -7t+10      ; t ∈ R

Slope: m = -2.3333

Slope angle of line: φ = -66°48'5″ = -1.1659 rad

X intercept: x0 = 10.2857

Y intercept: y0 = q = 24

Distance line from the origin: d0 = 9.4541

The length of the segment AB: |AB| = 7.6158

Vector: AB = (3; -7)

Normal vector: n = (7; 3)

Midpoint of the segment AB: M = [7.5; 6.5]

Perpendicular Bisector equation: 3x-7y+23 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 84
Angle ∠ AOB = 40°36'5″ = 0.7086 rad