Line slope calculator 5x-2y=14


Enter coordinates of two different points:

Straight line given by points A[4; 3] and B[6; 8]

Calculation:

Slope-intercept form of line: y = 2.5x-7

Canonical form of the line equation: 5x-2y-14 = 0

Parametric form of the line equation:
x = 2t+4
y = 5t+3      ; t ∈ R

Slope: m = 2.5

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

X intercept: x0 = 2.8

Y intercept: y0 = q = -7

Distance line from the origin: d0 = 2.5997

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

Vector: AB = (2; 5)

Normal vector: n = (5; -2)

Midpoint of the segment AB: M = [5; 5.5]

Perpendicular Bisector equation: 2x+5y-37.5 = 0


Vector OA = (4; 3) ;   |OA| = 5
Vector OB = (6; 8) ;   |OB| = 10
Scalar product OA .OB = 48
Angle ∠ AOB = 16°15'37″ = 0.2838 rad