Line slope calculator 5x+6y=35


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 5] and B[7; 0]

Calculation:

Slope: m = -0.8333

Slope-intercept form of line: y = -0.8333x+5.8333

Canonical form of the line equation: 5x+6y-35 = 0

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

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

X intercept: x0 = 7

Y intercept: y0 = q = 5.8333

Distance line from the origin: d0 = 4.4813

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

Vector: AB = (6; -5)

Normal vector: n = (5; 6)

Midpoint of the segment AB: M = [4; 2.5]

Perpendicular Bisector equation: 6x-5y-11.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (7; 0) ;   |OB| = 7
Scalar product OA .OB = 7
Angle ∠ AOB = 78°41'24″ = 1.3734 rad