Line slope calculator 7x+3y=24


Enter coordinates of two different points:

Straight line given by points A[0; 8] and B[3; 1]

Calculation:

Slope-intercept form of line: y = -2.3333x+8

Canonical form of the line equation: 7x+3y-24 = 0

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

Slope: m = -2.3333

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

X intercept: x0 = 3.4286

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 3.1514

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

Vector: AB = (3; -7)

Normal vector: n = (7; 3)

Midpoint of the segment AB: M = [1.5; 4.5]

Perpendicular Bisector equation: 3x-7y+27 = 0


Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (3; 1) ;   |OB| = 3.1623
Scalar product OA .OB = 8
Angle ∠ AOB = 71°33'54″ = 1.249 rad