Line slope calculator 5x+2y=37


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 6] and B[7; 1]

Calculation:

Slope: m = -2.5

Slope-intercept form of line: y = -2.5x+18.5

Canonical form of the line equation: 5x+2y-37 = 0

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

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

X intercept: x0 = 7.4

Y intercept: y0 = q = 18.5

Distance line from the origin: d0 = 6.8707

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [6; 3.5]

Perpendicular Bisector equation: 2x-5y+5.5 = 0

Vector OA = (5; 6) ;   |OA| = 7.8102
Vector OB = (7; 1) ;   |OB| = 7.0711
Scalar product OA .OB = 41
Angle ∠ AOB = 42°3'52″ = 0.7342 rad