Line slope calculator 5x-2y=13


Enter coordinates of two different points:

Straight line given by points A[3; 1] and B[5; 6]

Calculation:

Slope-intercept form of line: y = 2.5x-6.5

Canonical form of the line equation: 5x-2y-13 = 0

Parametric form of the line equation:
x = 2t+3
y = 5t+1      ; t ∈ R

Slope: m = 2.5

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

X intercept: x0 = 2.6

Y intercept: y0 = q = -6.5

Distance line from the origin: d0 = 2.414

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [4; 3.5]

Perpendicular Bisector equation: 2x+5y-25.5 = 0


Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (5; 6) ;   |OB| = 7.8102
Scalar product OA .OB = 21
Angle ∠ AOB = 31°45'34″ = 0.5543 rad