Line slope calculator 3x+7y=24


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = -0.4286

Slope-intercept form of line: y = -0.4286x+3.4286

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

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

Slope angle of line: φ = -23°11'55″ = -0.4049 rad

X intercept: x0 = 8

Y intercept: y0 = q = 3.4286

Distance line from the origin: d0 = 3.1514

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

Vector: AB = (7; -3)

Normal vector: n = (3; 7)

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

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

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