Line slope calculator 4x+9y=54


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[0; 6] and B[9; 2]

Calculation:

Slope: m = -0.4444

Slope-intercept form of line: y = -0.4444x+6

Canonical form of the line equation: 4x+9y-54 = 0

Parametric form of the line equation:
x = 9t
y = -4t+6      ; t ∈ R

Slope angle of line: φ = -23°57'45″ = -0.4182 rad

X intercept: x0 = 13.5

Y intercept: y0 = q = 6

Distance line from the origin: d0 = 5.4829

The length of the segment AB: |AB| = 9.8489

Vector: AB = (9; -4)

Normal vector: n = (4; 9)

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

Perpendicular Bisector equation: 9x-4y-24.5 = 0

Vector OA = (0; 6) ;   |OA| = 6
Vector OB = (9; 2) ;   |OB| = 9.2195
Scalar product OA .OB = 12
Angle ∠ AOB = 77°28'16″ = 1.3521 rad