Line slope calculator 3x-8y=-37


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.375

Slope-intercept form of line: y = 0.375x+4.625

Canonical form of the line equation: 3x-8y+37 = 0

Parametric form of the line equation:
x = 8t+1
y = 3t+5      ; t ∈ R

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

X intercept: x0 = -12.3333

Y intercept: y0 = q = 4.625

Distance line from the origin: d0 = 4.3305

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-59.5 = 0

Vector OA = (1; 5) ;   |OA| = 5.099
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 49
Angle ∠ AOB = 37°3'24″ = 0.6468 rad