Line slope calculator 5x-8y=10


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[10; 5]

Calculation:

Slope-intercept form of line: y = 0.625x-1.25

Canonical form of the line equation: 5x-8y-10 = 0

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

Slope: m = 0.625

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

X intercept: x0 = 2

Y intercept: y0 = q = -1.25

Distance line from the origin: d0 = 1.06

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; 2.5]

Perpendicular Bisector equation: 8x+5y-60.5 = 0


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (10; 5) ;   |OB| = 11.1803
Scalar product OA .OB = 20
Angle ∠ AOB = 26°33'54″ = 0.4636 rad