Line slope calculator 3x-8y=-13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 2] and B[9; 5]

Calculation:

Slope: m = 0.375

Slope-intercept form of line: y = 0.375x+1.625

Canonical form of the line equation: 3x-8y+13 = 0

Parametric form of the line equation:
x = 8t+1
y = 3t+2      ; t ∈ R

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

X intercept: x0 = -4.3333

Y intercept: y0 = q = 1.625

Distance line from the origin: d0 = 1.5215

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

Vector: AB = (8; 3)

Normal vector: n = (3; -8)

Midpoint of the segment AB: M = [5; 3.5]

Perpendicular Bisector equation: 8x+3y-50.5 = 0

Vector OA = (1; 2) ;   |OA| = 2.2361
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 19
Angle ∠ AOB = 34°22'49″ = 0.6001 rad