Line slope calculator 5x-2y=38


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[8; 1] and B[10; 6]

Calculation:

Slope: m = 2.5

Slope-intercept form of line: y = 2.5x-19

Canonical form of the line equation: 5x-2y-38 = 0

Parametric form of the line equation:
x = 2t+8
y = 5t+1      ; t ∈ R

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

X intercept: x0 = 7.6

Y intercept: y0 = q = -19

Distance line from the origin: d0 = 7.0564

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [9; 3.5]

Perpendicular Bisector equation: 2x+5y-35.5 = 0

Vector OA = (8; 1) ;   |OA| = 8.0623
Vector OB = (10; 6) ;   |OB| = 11.6619
Scalar product OA .OB = 86
Angle ∠ AOB = 23°50'19″ = 0.4161 rad