Line slope calculator 5x-4y=8


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 3] and B[8; 8]

Calculation:

Slope: m = 1.25

Slope-intercept form of line: y = 1.25x-2

Canonical form of the line equation: 5x-4y-8 = 0

Parametric form of the line equation:
x = 4t+4
y = 5t+3      ; t ∈ R

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

X intercept: x0 = 1.6

Y intercept: y0 = q = -2

Distance line from the origin: d0 = 1.2494

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

Vector: AB = (4; 5)

Normal vector: n = (5; -4)

Midpoint of the segment AB: M = [6; 5.5]

Perpendicular Bisector equation: 4x+5y-51.5 = 0

Vector OA = (4; 3) ;   |OA| = 5
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 56
Angle ∠ AOB = 8°7'48″ = 0.1419 rad