Line slope calculator 8x-5y=24


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[3; 0] and B[8; 8]

Calculation:

Slope: m = 1.6

Slope-intercept form of line: y = 1.6x-4.8

Canonical form of the line equation: 8x-5y-24 = 0

Parametric form of the line equation:
x = 5t+3
y = 8t      ; t ∈ R

Slope angle of line: φ = 57°59'41″ = 1.0122 rad

X intercept: x0 = 3

Y intercept: y0 = q = -4.8

Distance line from the origin: d0 = 2.544

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

Vector: AB = (5; 8)

Normal vector: n = (8; -5)

Midpoint of the segment AB: M = [5.5; 4]

Perpendicular Bisector equation: 5x+8y-59.5 = 0

Vector OA = (3; 0) ;   |OA| = 3
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 24
Angle ∠ AOB = 45° = 0.7854 rad