Line slope calculator 9x-4y=32


Enter coordinates of two different points:

Straight line given by points A[4; 1] and B[8; 10]

Calculation:

Slope-intercept form of line: y = 2.25x-8

Canonical form of the line equation: 9x-4y-32 = 0

Parametric form of the line equation:
x = 4t+4
y = 9t+1      ; t ∈ R

Slope: m = 2.25

Slope angle of line: φ = 66°2'15″ = 1.1526 rad

X intercept: x0 = 3.5556

Y intercept: y0 = q = -8

Distance line from the origin: d0 = 3.2491

The length of the segment AB: |AB| = 9.8489

Vector: AB = (4; 9)

Normal vector: n = (9; -4)

Midpoint of the segment AB: M = [6; 5.5]

Perpendicular Bisector equation: 4x+9y-73.5 = 0


Vector OA = (4; 1) ;   |OA| = 4.1231
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 42
Angle ∠ AOB = 37°18'14″ = 0.6511 rad