Line slope calculator 6x+7y=48


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -0.8571x+6.8571

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

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

Slope: m = -0.8571

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

X intercept: x0 = 8

Y intercept: y0 = q = 6.8571

Distance line from the origin: d0 = 5.2063

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; 3]

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


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