Line slope calculator 5x+2y=51


Enter coordinates of two different points:

Straight line given by points A[7; 8] and B[9; 3]

Calculation:

Slope-intercept form of line: y = -2.5x+25.5

Canonical form of the line equation: 5x+2y-51 = 0

Parametric form of the line equation:
x = 2t+7
y = -5t+8      ; t ∈ R

Slope: m = -2.5

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

X intercept: x0 = 10.2

Y intercept: y0 = q = 25.5

Distance line from the origin: d0 = 9.4705

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

Vector: AB = (2; -5)

Normal vector: n = (5; 2)

Midpoint of the segment AB: M = [8; 5.5]

Perpendicular Bisector equation: 2x-5y+11.5 = 0


Vector OA = (7; 8) ;   |OA| = 10.6301
Vector OB = (9; 3) ;   |OB| = 9.4868
Scalar product OA .OB = 87
Angle ∠ AOB = 30°22'45″ = 0.5302 rad