Line slope calculator 5x-2y=-6


Enter coordinates of two different points:

Straight line given by points A[0; 3] and B[2; 8]

Calculation:

Slope-intercept form of line: y = 2.5x+3

Canonical form of the line equation: 5x-2y+6 = 0

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

Slope: m = 2.5

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

X intercept: x0 = -1.2

Y intercept: y0 = q = 3

Distance line from the origin: d0 = 1.1142

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [1; 5.5]

Perpendicular Bisector equation: 2x+5y-29.5 = 0


Vector OA = (0; 3) ;   |OA| = 3
Vector OB = (2; 8) ;   |OB| = 8.2462
Scalar product OA .OB = 24
Angle ∠ AOB = 14°2'10″ = 0.245 rad