Line slope calculator 7x+3y=31


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[4; 1]

Calculation:

Slope: m = -2.3333

Slope-intercept form of line: y = -2.3333x+10.3333

Canonical form of the line equation: 7x+3y-31 = 0

Parametric form of the line equation:
x = 3t+1
y = -7t+8      ; t ∈ R

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

X intercept: x0 = 4.4286

Y intercept: y0 = q = 10.3333

Distance line from the origin: d0 = 4.0705

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

Vector: AB = (3; -7)

Normal vector: n = (7; 3)

Midpoint of the segment AB: M = [2.5; 4.5]

Perpendicular Bisector equation: 3x-7y+24 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (4; 1) ;   |OB| = 4.1231
Scalar product OA .OB = 12
Angle ∠ AOB = 68°50'19″ = 1.2015 rad