Line slope calculator 3x+8y=67


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 8] and B[9; 5]

Calculation:

Slope: m = -0.375

Slope-intercept form of line: y = -0.375x+8.375

Canonical form of the line equation: 3x+8y-67 = 0

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

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

X intercept: x0 = 22.3333

Y intercept: y0 = q = 8.375

Distance line from the origin: d0 = 7.8418

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; 6.5]

Perpendicular Bisector equation: 8x-3y-20.5 = 0

Vector OA = (1; 8) ;   |OA| = 8.0623
Vector OB = (9; 5) ;   |OB| = 10.2956
Scalar product OA .OB = 49
Angle ∠ AOB = 53°49'13″ = 0.9393 rad