Line slope calculator 9x+4y=58


Enter coordinates of two different points:

Straight line given by points A[2; 10] and B[6; 1]

Calculation:

Slope-intercept form of line: y = -2.25x+14.5

Canonical form of the line equation: 9x+4y-58 = 0

Parametric form of the line equation:
x = 4t+2
y = -9t+10      ; t ∈ R

Slope: m = -2.25

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

X intercept: x0 = 6.4444

Y intercept: y0 = q = 14.5

Distance line from the origin: d0 = 5.889

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

Vector: AB = (4; -9)

Normal vector: n = (9; 4)

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

Perpendicular Bisector equation: 4x-9y+33.5 = 0


Vector OA = (2; 10) ;   |OA| = 10.198
Vector OB = (6; 1) ;   |OB| = 6.0828
Scalar product OA .OB = 22
Angle ∠ AOB = 69°13'40″ = 1.2083 rad