Line slope calculator 5x+2y=27


Enter coordinates of two different points:

Straight line given by points A[3; 6] and B[5; 1]

Calculation:

Slope-intercept form of line: y = -2.5x+13.5

Canonical form of the line equation: 5x+2y-27 = 0

Parametric form of the line equation:
x = 2t+3
y = -5t+6      ; t ∈ R

Slope: m = -2.5

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

X intercept: x0 = 5.4

Y intercept: y0 = q = 13.5

Distance line from the origin: d0 = 5.0138

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [4; 3.5]

Perpendicular Bisector equation: 2x-5y+9.5 = 0


Vector OA = (3; 6) ;   |OA| = 6.7082
Vector OB = (5; 1) ;   |OB| = 5.099
Scalar product OA .OB = 21
Angle ∠ AOB = 52°7'30″ = 0.9098 rad