Line slope calculator 5x+6y=70


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 10] and B[8; 5]

Calculation:

Slope: m = -0.8333

Slope-intercept form of line: y = -0.8333x+11.6667

Canonical form of the line equation: 5x+6y-70 = 0

Parametric form of the line equation:
x = 6t+2
y = -5t+10      ; t ∈ R

Slope angle of line: φ = -39°48'20″ = -0.6947 rad

X intercept: x0 = 14

Y intercept: y0 = q = 11.6667

Distance line from the origin: d0 = 8.9626

The length of the segment AB: |AB| = 7.8102

Vector: AB = (6; -5)

Normal vector: n = (5; 6)

Midpoint of the segment AB: M = [5; 7.5]

Perpendicular Bisector equation: 6x-5y+7.5 = 0

Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 66
Angle ∠ AOB = 46°41'5″ = 0.8148 rad