Line slope calculator 5x+2y=55


Enter coordinates of two different points:

Straight line given by points A[7; 10] and B[9; 5]

Calculation:

Slope-intercept form of line: y = -2.5x+27.5

Canonical form of the line equation: 5x+2y-55 = 0

Parametric form of the line equation:
x = 2t+7
y = -5t+10      ; t ∈ R

Slope: m = -2.5

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

X intercept: x0 = 11

Y intercept: y0 = q = 27.5

Distance line from the origin: d0 = 10.2132

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; 7.5]

Perpendicular Bisector equation: 2x-5y+21.5 = 0


Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 113
Angle ∠ AOB = 25°57'12″ = 0.453 rad