Line slope calculator 5x+2y=41


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[7; 3]

Calculation:

Slope: m = -2.5

Slope-intercept form of line: y = -2.5x+20.5

Canonical form of the line equation: 5x+2y-41 = 0

Parametric form of the line equation:
x = 2t+5
y = -5t+8      ; t ∈ R

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

X intercept: x0 = 8.2

Y intercept: y0 = q = 20.5

Distance line from the origin: d0 = 7.6135

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; 5.5]

Perpendicular Bisector equation: 2x-5y+15.5 = 0

Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (7; 3) ;   |OB| = 7.6158
Scalar product OA .OB = 59
Angle ∠ AOB = 34°47'46″ = 0.6073 rad