Line slope calculator 4x+5y=54


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 10] and B[6; 6]

Calculation:

Slope: m = -0.8

Slope-intercept form of line: y = -0.8x+10.8

Canonical form of the line equation: 4x+5y-54 = 0

Parametric form of the line equation:
x = 5t+1
y = -4t+10      ; t ∈ R

Slope angle of line: φ = -38°39'35″ = -0.6747 rad

X intercept: x0 = 13.5

Y intercept: y0 = q = 10.8

Distance line from the origin: d0 = 8.4334

The length of the segment AB: |AB| = 6.4031

Vector: AB = (5; -4)

Normal vector: n = (4; 5)

Midpoint of the segment AB: M = [3.5; 8]

Perpendicular Bisector equation: 5x-4y+14.5 = 0

Vector OA = (1; 10) ;   |OA| = 10.0499
Vector OB = (6; 6) ;   |OB| = 8.4853
Scalar product OA .OB = 66
Angle ∠ AOB = 39°17'22″ = 0.6857 rad