Line slope calculator 6x+y=60


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[9; 6] and B[10; 0]

Calculation:

Slope: m = -6

Slope-intercept form of line: y = -6x+60

Canonical form of the line equation: 6x+y-60 = 0

Parametric form of the line equation:
x = t+9
y = -6t+6      ; t ∈ R

Slope angle of line: φ = -80°32'16″ = -1.4056 rad

X intercept: x0 = 10

Y intercept: y0 = q = 60

Distance line from the origin: d0 = 9.8639

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

Vector: AB = (1; -6)

Normal vector: n = (6; 1)

Midpoint of the segment AB: M = [9.5; 3]

Perpendicular Bisector equation: x-6y+8.5 = 0

Vector OA = (9; 6) ;   |OA| = 10.8167
Vector OB = (10; 0) ;   |OB| = 10
Scalar product OA .OB = 90
Angle ∠ AOB = 33°41'24″ = 0.588 rad