Line slope calculator x+6y=31


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[7; 4]

Calculation:

Slope: m = -0.1667

Slope-intercept form of line: y = -0.1667x+5.1667

Canonical form of the line equation: x+6y-31 = 0

Parametric form of the line equation:
x = 6t+1
y = -t+5      ; t ∈ R

Slope angle of line: φ = -9°27'44″ = -0.1651 rad

X intercept: x0 = 31

Y intercept: y0 = q = 5.1667

Distance line from the origin: d0 = 5.0964

The length of the segment AB: |AB| = 6.0828

Vector: AB = (6; -1)

Normal vector: n = (1; 6)

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

Perpendicular Bisector equation: 6x-y-19.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 27
Angle ∠ AOB = 48°56'43″ = 0.8543 rad