Line slope calculator 5x-2y=10


Enter coordinates of two different points:

Straight line given by points A[2; 0] and B[4; 5]

Calculation:

Slope-intercept form of line: y = 2.5x-5

Canonical form of the line equation: 5x-2y-10 = 0

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

Slope: m = 2.5

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

X intercept: x0 = 2

Y intercept: y0 = q = -5

Distance line from the origin: d0 = 1.857

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [3; 2.5]

Perpendicular Bisector equation: 2x+5y-18.5 = 0


Vector OA = (2; 0) ;   |OA| = 2
Vector OB = (4; 5) ;   |OB| = 6.4031
Scalar product OA .OB = 8
Angle ∠ AOB = 51°20'25″ = 0.8961 rad