Line slope calculator 2x-5y=-24


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x+4.8

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

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

Slope angle of line: φ = 21°48'5″ = 0.3805 rad

X intercept: x0 = -12

Y intercept: y0 = q = 4.8

Distance line from the origin: d0 = 4.4567

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

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

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

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

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