Line slope calculator 5x-2y=8


Enter coordinates of two different points:

Straight line given by points A[2; 1] and B[4; 6]

Calculation:

Slope-intercept form of line: y = 2.5x-4

Canonical form of the line equation: 5x-2y-8 = 0

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

Slope: m = 2.5

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

X intercept: x0 = 1.6

Y intercept: y0 = q = -4

Distance line from the origin: d0 = 1.4856

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; 3.5]

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


Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (4; 6) ;   |OB| = 7.2111
Scalar product OA .OB = 14
Angle ∠ AOB = 29°44'42″ = 0.5191 rad