Line slope calculator 9x-2y=25


Enter coordinates of two different points:

Straight line given by points A[3; 1] and B[5; 10]

Calculation:

Slope-intercept form of line: y = 4.5x-12.5

Canonical form of the line equation: 9x-2y-25 = 0

Parametric form of the line equation:
x = 2t+3
y = 9t+1      ; t ∈ R

Slope: m = 4.5

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

X intercept: x0 = 2.7778

Y intercept: y0 = q = -12.5

Distance line from the origin: d0 = 2.7116

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

Vector: AB = (2; 9)

Normal vector: n = (9; -2)

Midpoint of the segment AB: M = [4; 5.5]

Perpendicular Bisector equation: 2x+9y-57.5 = 0


Vector OA = (3; 1) ;   |OA| = 3.1623
Vector OB = (5; 10) ;   |OB| = 11.1803
Scalar product OA .OB = 25
Angle ∠ AOB = 45° = 0.7854 rad