Line slope calculator 5x-8y=2


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[2; 1] and B[10; 6]

Calculation:

Slope: m = 0.625

Slope-intercept form of line: y = 0.625x-0.25

Canonical form of the line equation: 5x-8y-2 = 0

Parametric form of the line equation:
x = 8t+2
y = 5t+1      ; t ∈ R

Slope angle of line: φ = 32°19″ = 0.5586 rad

X intercept: x0 = 0.4

Y intercept: y0 = q = -0.25

Distance line from the origin: d0 = 0.212

The length of the segment AB: |AB| = 9.434

Vector: AB = (8; 5)

Normal vector: n = (5; -8)

Midpoint of the segment AB: M = [6; 3.5]

Perpendicular Bisector equation: 8x+5y-65.5 = 0

Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 26
Angle ∠ AOB = 4°23'55″ = 0.0768 rad