Line slope calculator 3x-8y=-21


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 3] and B[9; 6]

Calculation:

Slope: m = 0.375

Slope-intercept form of line: y = 0.375x+2.625

Canonical form of the line equation: 3x-8y+21 = 0

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

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

X intercept: x0 = -7

Y intercept: y0 = q = 2.625

Distance line from the origin: d0 = 2.4579

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; 4.5]

Perpendicular Bisector equation: 8x+3y-53.5 = 0

Vector OA = (1; 3) ;   |OA| = 3.1623
Vector OB = (9; 6) ;   |OB| = 10.8167
Scalar product OA .OB = 27
Angle ∠ AOB = 37°52'30″ = 0.661 rad