Line slope calculator 3x+8y=46


Enter coordinates of two different points:

Straight line given by points A[2; 5] and B[10; 2]

Calculation:

Slope-intercept form of line: y = -0.375x+5.75

Canonical form of the line equation: 3x+8y-46 = 0

Parametric form of the line equation:
x = 8t+2
y = -3t+5      ; t ∈ R

Slope: m = -0.375

Slope angle of line: φ = -20°33'22″ = -0.3588 rad

X intercept: x0 = 15.3333

Y intercept: y0 = q = 5.75

Distance line from the origin: d0 = 5.3839

The length of the segment AB: |AB| = 8.544

Vector: AB = (8; -3)

Normal vector: n = (3; 8)

Midpoint of the segment AB: M = [6; 3.5]

Perpendicular Bisector equation: 8x-3y-37.5 = 0


Vector OA = (2; 5) ;   |OA| = 5.3852
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 30
Angle ∠ AOB = 56°53'19″ = 0.9929 rad