Line slope calculator 2x-9y=-54


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[9; 8]

Calculation:

Slope: m = 0.2222

Slope-intercept form of line: y = 0.2222x+6

Canonical form of the line equation: 2x-9y+54 = 0

Parametric form of the line equation:
x = 9t
y = 2t+6      ; t ∈ R

Slope angle of line: φ = 12°31'44″ = 0.2187 rad

X intercept: x0 = -27

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.8571

The length of the segment AB: |AB| = 9.2195

Vector: AB = (9; 2)

Normal vector: n = (2; -9)

Midpoint of the segment AB: M = [4.5; 7]

Perpendicular Bisector equation: 9x+2y-54.5 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 48
Angle ∠ AOB = 48°21'59″ = 0.8442 rad