Line slope calculator 7x+6y=55


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[7; 1]

Calculation:

Slope: m = -1.1667

Slope-intercept form of line: y = -1.1667x+9.1667

Canonical form of the line equation: 7x+6y-55 = 0

Parametric form of the line equation:
x = 6t+1
y = -7t+8      ; t ∈ R

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

X intercept: x0 = 7.8571

Y intercept: y0 = q = 9.1667

Distance line from the origin: d0 = 5.9656

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

Vector: AB = (6; -7)

Normal vector: n = (7; 6)

Midpoint of the segment AB: M = [4; 4.5]

Perpendicular Bisector equation: 6x-7y+7.5 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 15
Angle ∠ AOB = 74°44'42″ = 1.3045 rad