Line slope calculator 4x+3y=54


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = -1.3333x+18

Canonical form of the line equation: 4x+3y-54 = 0

Parametric form of the line equation:
x = 3t+6
y = -4t+10      ; t ∈ R

Slope: m = -1.3333

Slope angle of line: φ = -53°7'48″ = -0.9273 rad

X intercept: x0 = 13.5

Y intercept: y0 = q = 18

Distance line from the origin: d0 = 10.8

The length of the segment AB: |AB| = 5

Vector: AB = (3; -4)

Normal vector: n = (4; 3)

Midpoint of the segment AB: M = [7.5; 8]

Perpendicular Bisector equation: 3x-4y+9.5 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 114
Angle ∠ AOB = 25°20'46″ = 0.4424 rad