Line slope calculator 5x+2y=50


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 10] and B[8; 5]

Calculation:

Slope: m = -2.5

Slope-intercept form of line: y = -2.5x+25

Canonical form of the line equation: 5x+2y-50 = 0

Parametric form of the line equation:
x = 2t+6
y = -5t+10      ; t ∈ R

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

X intercept: x0 = 10

Y intercept: y0 = q = 25

Distance line from the origin: d0 = 9.2848

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [7; 7.5]

Perpendicular Bisector equation: 2x-5y+23.5 = 0


Vector OA = (6; 10) ;   |OA| = 11.6619
Vector OB = (8; 5) ;   |OB| = 9.434
Scalar product OA .OB = 98
Angle ∠ AOB = 27°1'51″ = 0.4718 rad