Line slope calculator 8x-3y=48


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[6; 0] and B[9; 8]

Calculation:

Slope: m = 2.6667

Slope-intercept form of line: y = 2.6667x-16

Canonical form of the line equation: 8x-3y-48 = 0

Parametric form of the line equation:
x = 3t+6
y = 8t      ; t ∈ R

Slope angle of line: φ = 69°26'38″ = 1.212 rad

X intercept: x0 = 6

Y intercept: y0 = q = -16

Distance line from the origin: d0 = 5.618

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

Vector: AB = (3; 8)

Normal vector: n = (8; -3)

Midpoint of the segment AB: M = [7.5; 4]

Perpendicular Bisector equation: 3x+8y-54.5 = 0

Vector OA = (6; 0) ;   |OA| = 6
Vector OB = (9; 8) ;   |OB| = 12.0416
Scalar product OA .OB = 54
Angle ∠ AOB = 41°38'1″ = 0.7266 rad