Line slope calculator 9x+2y=83


Enter coordinates of two different points:

Straight line given by points A[7; 10] and B[9; 1]

Calculation:

Slope-intercept form of line: y = -4.5x+41.5

Canonical form of the line equation: 9x+2y-83 = 0

Parametric form of the line equation:
x = 2t+7
y = -9t+10      ; t ∈ R

Slope: m = -4.5

Slope angle of line: φ = -77°28'16″ = -1.3521 rad

X intercept: x0 = 9.2222

Y intercept: y0 = q = 41.5

Distance line from the origin: d0 = 9.0026

The length of the segment AB: |AB| = 9.2195

Vector: AB = (2; -9)

Normal vector: n = (9; 2)

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

Perpendicular Bisector equation: 2x-9y+33.5 = 0


Vector OA = (7; 10) ;   |OA| = 12.2066
Vector OB = (9; 1) ;   |OB| = 9.0554
Scalar product OA .OB = 73
Angle ∠ AOB = 48°40'4″ = 0.8494 rad