Line slope calculator 6x+7y=76


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[8; 4]

Calculation:

Slope: m = -0.8571

Slope-intercept form of line: y = -0.8571x+10.8571

Canonical form of the line equation: 6x+7y-76 = 0

Parametric form of the line equation:
x = 7t+1
y = -6t+10      ; t ∈ R

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

X intercept: x0 = 12.6667

Y intercept: y0 = q = 10.8571

Distance line from the origin: d0 = 8.2434

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

Vector: AB = (7; -6)

Normal vector: n = (6; 7)

Midpoint of the segment AB: M = [4.5; 7]

Perpendicular Bisector equation: 7x-6y+10.5 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (8; 4) ;   |OB| = 8.9443
Scalar product OA .OB = 48
Angle ∠ AOB = 57°43'28″ = 1.0075 rad