Line slope calculator 6x+7y=68


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 8] and B[9; 2]

Calculation:

Slope: m = -0.8571

Slope-intercept form of line: y = -0.8571x+9.7143

Canonical form of the line equation: 6x+7y-68 = 0

Parametric form of the line equation:
x = 7t+2
y = -6t+8      ; t ∈ R

Slope angle of line: φ = -40°36'5″ = -0.7086 rad

X intercept: x0 = 11.3333

Y intercept: y0 = q = 9.7143

Distance line from the origin: d0 = 7.3756

The length of the segment AB: |AB| = 9.2195

Vector: AB = (7; -6)

Normal vector: n = (6; 7)

Midpoint of the segment AB: M = [5.5; 5]

Perpendicular Bisector equation: 7x-6y-8.5 = 0

Vector OA = (2; 8) ;   |OA| = 8.2462
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 34
Angle ∠ AOB = 63°26'6″ = 1.1071 rad