Line slope calculator 7x+6y=48


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 8] and B[6; 1]

Calculation:

Slope: m = -1.1667

Slope-intercept form of line: y = -1.1667x+8

Canonical form of the line equation: 7x+6y-48 = 0

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

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

X intercept: x0 = 6.8571

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 5.2063

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

Vector: AB = (6; -7)

Normal vector: n = (7; 6)

Midpoint of the segment AB: M = [3; 4.5]

Perpendicular Bisector equation: 6x-7y+13.5 = 0

Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (6; 1) ;   |OB| = 6.0828
Scalar product OA .OB = 8
Angle ∠ AOB = 80°32'16″ = 1.4056 rad