Line slope calculator 7x-3y=32


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 2.3333x-10.6667

Canonical form of the line equation: 7x-3y-32 = 0

Parametric form of the line equation:
x = 3t+5
y = 7t+1      ; t ∈ R

Slope: m = 2.3333

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

X intercept: x0 = 4.5714

Y intercept: y0 = q = -10.6667

Distance line from the origin: d0 = 4.2018

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

Vector: AB = (3; 7)

Normal vector: n = (7; -3)

Midpoint of the segment AB: M = [6.5; 4.5]

Perpendicular Bisector equation: 3x+7y-51 = 0


Vector OA = (5; 1) ;   |OA| = 5.099
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 48
Angle ∠ AOB = 33°41'24″ = 0.588 rad