Line slope calculator 2x-5y=-32


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[4; 8] and B[9; 10]

Calculation:

Slope: m = 0.4

Slope-intercept form of line: y = 0.4x+6.4

Canonical form of the line equation: 2x-5y+32 = 0

Parametric form of the line equation:
x = 5t+4
y = 2t+8      ; t ∈ R

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

X intercept: x0 = -16

Y intercept: y0 = q = 6.4

Distance line from the origin: d0 = 5.9423

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

Vector: AB = (5; 2)

Normal vector: n = (2; -5)

Midpoint of the segment AB: M = [6.5; 9]

Perpendicular Bisector equation: 5x+2y-50.5 = 0

Vector OA = (4; 8) ;   |OA| = 8.9443
Vector OB = (9; 10) ;   |OB| = 13.4536
Scalar product OA .OB = 116
Angle ∠ AOB = 15°25'20″ = 0.2692 rad