Line slope calculator 5x-2y=24


Enter coordinates of two different points:

Straight line given by points A[6; 3] and B[8; 8]

Calculation:

Slope-intercept form of line: y = 2.5x-12

Canonical form of the line equation: 5x-2y-24 = 0

Parametric form of the line equation:
x = 2t+6
y = 5t+3      ; t ∈ R

Slope: m = 2.5

Slope angle of line: φ = 68°11'55″ = 1.1903 rad

X intercept: x0 = 4.8

Y intercept: y0 = q = -12

Distance line from the origin: d0 = 4.4567

The length of the segment AB: |AB| = 5.3852

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

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

Perpendicular Bisector equation: 2x+5y-41.5 = 0


Vector OA = (6; 3) ;   |OA| = 6.7082
Vector OB = (8; 8) ;   |OB| = 11.3137
Scalar product OA .OB = 72
Angle ∠ AOB = 18°26'6″ = 0.3218 rad