Line slope calculator 7x+6y=76


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.1667x+12.6667

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

Parametric form of the line equation:
x = 6t+4
y = -7t+8      ; t ∈ R

Slope: m = -1.1667

Slope angle of line: φ = -49°23'55″ = -0.8622 rad

X intercept: x0 = 10.8571

Y intercept: y0 = q = 12.6667

Distance line from the origin: d0 = 8.2434

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

Vector: AB = (6; -7)

Normal vector: n = (7; 6)

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

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


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