Line slope calculator 6x+7y=82


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[9; 4]

Calculation:

Slope: m = -0.8571

Slope-intercept form of line: y = -0.8571x+11.7143

Canonical form of the line equation: 6x+7y-82 = 0

Parametric form of the line equation:
x = 7t+2
y = -6t+10      ; t ∈ R

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

X intercept: x0 = 13.6667

Y intercept: y0 = q = 11.7143

Distance line from the origin: d0 = 8.8941

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; 7]

Perpendicular Bisector equation: 7x-6y+3.5 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (9; 4) ;   |OB| = 9.8489
Scalar product OA .OB = 58
Angle ∠ AOB = 54°43'39″ = 0.9552 rad