Line slope calculator 5x+4y=57


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[9; 3]

Calculation:

Slope: m = -1.25

Slope-intercept form of line: y = -1.25x+14.25

Canonical form of the line equation: 5x+4y-57 = 0

Parametric form of the line equation:
x = 4t+5
y = -5t+8      ; t ∈ R

Slope angle of line: φ = -51°20'25″ = -0.8961 rad

X intercept: x0 = 11.4

Y intercept: y0 = q = 14.25

Distance line from the origin: d0 = 8.9019

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

Vector: AB = (4; -5)

Normal vector: n = (5; 4)

Midpoint of the segment AB: M = [7; 5.5]

Perpendicular Bisector equation: 4x-5y-0.5 = 0

Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 69
Angle ∠ AOB = 39°33'35″ = 0.6904 rad